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Message boards : Generalized Fermat Prime Search : GFN-14/13/... MEGA Prime Search on GFN Server

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stream
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Joined: 1 Mar 14
Posts: 981
ID: 301928
Credit: 543,185,506
RAC: 36,711
Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146067 - Posted: 3 Dec 2020 | 19:14:13 UTC
Last modified: 5 May 2022 | 19:01:12 UTC

Project description

The goal of GFN-MEGA project series is to find a MEGA prime for each GFN exponent, until software limits allows. MEGA Primes for GFN-17 and above were found or being searched on PrimeGrid. MEGA Primes for GFN-16 and GFN-15 were already found in these series. Now it's a time for GFN-14 MEGA, GFN-13 MEGA and so on. Last project in the series (when we hit software and math limits) is not determined yet, it can be either GFN-12 MEGA either GFN-11 MEGA.

These projects are exactly the same as previous GFN-15 project, so for detailed description and instructions please read top post in GFN-15 MEGA thread: https://www.primegrid.com/forum_thread.php?id=9198 . Everything is the same except:

GFN-14 MEGA:


  • This is a GFN-14, so we're looking for MEGA Prime in form b16384+1
  • Search will be started from bmin = 10841645805132531666786792405311319418846637043199917731144080
  • Project name (for app_config.xml) is gfn14_mega


GFN-13 MEGA:


  • Prime have form b8192+1
  • Search will be started from bmin = 117541283763947820803514936063599937165870515987063348437723855381224452611844232886228245901292532817349347812678728888242
  • Project name (for app_config.xml) is gfn13_mega


GFN-12 MEGA:


  • Prime have form b4096+1
  • Search will be started from bmin = 138159533888....097738460 (very long, 245 digits)
  • Project name (for app_config.xml) is gfn12_mega


GFN-11 MEGA:


  • Prime have form b2048+1
  • Search will be started from bmin = 190880568043....910259838 (very long, 489 digits)
  • Project name (for app_config.xml) is gfn11_mega


Duration of all projects will follow same rules as GFN-15 MEGA - one month after prime will be found. Minimal duration will be 3 months (even if prime will be found faster).

Note that running LLR multithreaded significantly improves performance of these tasks. Using 4 cores per task is usually a good start. Using more cores may lead to worse overall perfomance because penalty of threads synchronization rises with number of cores, but your mileage may vary. Instructions are in the GFN-15 thread mentioned above.

For new users, please note once again that this is not a PrimeGrid project. It's running on separate server. Instructions to join are in the post mentioned above.

Current project status

GFN-14 MEGA: (completed)
2020-12-05: Project started
2020-12-17: First GFN14-MEGA Prime found
2021-03-05: Work loading stopped, cleanup started.
2021-04-13: Last task returned, project completed at bmin+600000, 2 primes found.

GFN-13 MEGA: (completed)
2021-03-27: Project started
2021-04-03: First GFN13-MEGA Prime found
2021-06-27: No new work will be loaded after this date
2021-07-30: Last task returned, project completed at bmin+600000, 5 primes found.

GFN-12 MEGA: (completed)
2021-07-26: Project started
2021-08-03: First GFN12-MEGA Prime found
2021-10-26: No new work will be loaded after this date
2021-11-13: Last task returned, project completed at bmin+600000, 4 primes found.

GFN-11 MEGA: (running)
2022-03-02: Start of project
2022-03-24: First GFN12-MEGA Prime found
2022-06-02: No new work will be loaded after this date

Good luck and happy crunching!


Unproven and unreported primes

The test we're running on Boinc only checks for "probable prime" status. Although it's almost impossible for PRP of such size to be a "false positive", we must get strong mathematical proof of primality anyway. Any number we found must be tested using second algorithm, which gives an exact answer, is it a prime or not.

A key point of this algorithm is that base must be factorized at least on 33%. It became a problem starting from GFN12-MEGA, where base is 245 digits long. We were lucky to factorize bases of first two primes quickly, but third and fourth bases were hard.

Unfactorized cofactors of bases will be posted here. On my side, most of these numbers received at least 21000 GMP-ECM curves at B1=110M, which is (according to GMP-ECM predictions) should be enough to find a factor up to 55 digits long (i.e. we may consider that this number has no factors of 55 digits or less). Exceptions are noted in description of corresponding number.

Numbers are posted in "bc" format (split on few lines, trailing backslash added to mark continuation).

1. GFN12-MEGA prime #3, by "PDW", at bmin+264748, 225 digits in cofactor

61607572665627716466267194947375202454728572568697314321650756978331\ 66283319835201948467176887575789325908073477465546474542352681535472\ 88584383907676703070335462013604241843269575861809459636096728646069\ 366089914571285046613


2. GFN12-MEGA prime #4, by "Dr Who Fan", at bmin+377416, 233 digits in cofactor
16734808375533474856608510065546476172596886534128368435090583289106\ 38178980843290925788335246633129479179093533087632738968382583290449\ 28416176596662803608570380503905536104795813169435941311632424097942\ 59520763893813455999844873823


3. GFN11-MEGA prime #2, by "robish", at bmin+522274, 464 digits in cofactor
17748921385169662079448182126563109680721022126713567989277507900878\ 57016720423384677766689629347147984374396091110103142471635239294324\ 70820583145040530609817464043293047796910170491904322445058842681480\ 60778240892742794408254224764136940716949565356286369878179344020523\ 31124713135648717187780428921779456230091647839292083834515734336524\ 23228219750610454090022512142154396397452396207851666249975249181764\ 72057627989734590544045115932608517494456106108505815339


4. GFN11-MEGA prime #3, by "Coleslaw", at bmin+720536, 446 digits in cofactor
(ECM tested up to 45 digits)
15124356119385150396058572113004532948102793734159337163423942599390\ 60817880741371510132570469941210620458808895945749857642893658367913\ 63015170199948753503396369635953589966792673198636504836183636614308\ 25799594611928180237101132125729244048080211110581867436961772401546\ 51802870311229507997500476268810633802439096858157429095334448247480\ 09383041888148717977873042809369301551438323863404753512056073834025\ 90180873995984242097687345950835226343

FrankProject donor
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Joined: 30 Dec 17
Posts: 27
ID: 964965
Credit: 351,035,626
RAC: 68,767
Discovered 3 mega primesFound 2 primes in the 2020 Tour de PrimesFound 1 prime in the 2022 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (3,205,525)Cullen LLR Ruby: Earned 2,000,000 credits (2,029,968)ESP LLR Ruby: Earned 2,000,000 credits (3,663,835)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,140,232)PPS LLR Jade: Earned 10,000,000 credits (13,053,300)PSP LLR Turquoise: Earned 5,000,000 credits (5,008,887)SoB LLR Ruby: Earned 2,000,000 credits (2,082,753)SR5 LLR Turquoise: Earned 5,000,000 credits (5,241,816)SGS LLR Ruby: Earned 2,000,000 credits (2,083,368)TRP LLR Turquoise: Earned 5,000,000 credits (5,029,943)Woodall LLR Ruby: Earned 2,000,000 credits (2,016,314)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (4,125,872)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,260,299)PPS Sieve Emerald: Earned 50,000,000 credits (80,037,653)AP 26/27 Jade: Earned 10,000,000 credits (11,797,474)GFN Emerald: Earned 50,000,000 credits (89,970,560)WW Emerald: Earned 50,000,000 credits (51,368,000)PSA Emerald: Earned 50,000,000 credits (62,919,830)
Message 146126 - Posted: 4 Dec 2020 | 21:00:23 UTC

Looking forward to it! Thanks Stream for all your amazing effort :D

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Discovered the World's First AP27!!!Discovered 11 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Emerald: Earned 50,000,000 credits (50,204,972)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,236,990)PPS LLR Emerald: Earned 50,000,000 credits (86,341,549)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Sapphire: Earned 20,000,000 credits (30,102,369)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,255)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (110,369,857)GFN Double Turquoise: Earned 5,000,000,000 credits (5,192,643,267)WW Emerald: Earned 50,000,000 credits (99,964,000)
Message 146131 - Posted: 4 Dec 2020 | 22:57:58 UTC - in response to Message 146126.

Looking forward to it! Thanks Stream for all your amazing effort :D


+1 :)
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

stream
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Joined: 1 Mar 14
Posts: 981
ID: 301928
Credit: 543,185,506
RAC: 36,711
Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146164 - Posted: 5 Dec 2020 | 17:04:24 UTC

A misconfiguration of LLR2 parameters (they were tweaked in special way for more efficient processing of GFN tests) caused invalid tasks to be sent until (estimated) 15:00 UTC. These tasks cannot complete, they will fail during final "checkpoint compression" phase with error message "proof.xxx is missing or corrupt".

In most cases affected tasks should be aborted automatically when one of tasks completes and your computer connects to the server. If you don't wish to wait and you still have tasks sent before 2020-12-05 15:00 UTC (check "Sent" field in your list of tasks on the server), it's recommended to abort these tasks manually because they just will consume CPU time and fail.

Hans Sveen
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Joined: 18 Aug 05
Posts: 38
ID: 423
Credit: 1,360,197,841
RAC: 159,477
Discovered 1 mega prime321 LLR Jade: Earned 10,000,000 credits (10,798,563)Cullen LLR Sapphire: Earned 20,000,000 credits (27,510,406)ESP LLR Jade: Earned 10,000,000 credits (11,796,601)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (11,765,659)PPS LLR Sapphire: Earned 20,000,000 credits (22,711,533)PSP LLR Jade: Earned 10,000,000 credits (13,298,024)SoB LLR Jade: Earned 10,000,000 credits (13,216,520)SR5 LLR Jade: Earned 10,000,000 credits (10,643,388)SGS LLR Amethyst: Earned 1,000,000 credits (1,587,974)TRP LLR Jade: Earned 10,000,000 credits (10,754,976)Woodall LLR Jade: Earned 10,000,000 credits (10,587,764)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,526)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,323,773)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,758)PPS Sieve Emerald: Earned 50,000,000 credits (77,871,919)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,081,558)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,180,919)AP 26/27 Emerald: Earned 50,000,000 credits (60,545,241)GFN Double Amethyst: Earned 1,000,000,000 credits (1,009,394,913)WW Emerald: Earned 50,000,000 credits (50,096,000)
Message 146165 - Posted: 5 Dec 2020 | 17:07:22 UTC
Last modified: 5 Dec 2020 | 17:14:03 UTC

Hello!
So far running this new GFN_14 Mega units has resulted in 9 finished wu's on 4 different pc's has given me bad results/uploads.

All have errors like this:

Stderr output
<core_client_version>7.16.11</core_client_version>
<![CDATA[
<stderr_txt>
BOINC PrimeGrid wrapper 2.02 (Nov 23 2020 23:35:38)
running ../../projects/boincvm.proxyma.ru_30080_test4vm/llr2_win64_201114.exe -v
LLR2 Program - Version 1.1.0, using Gwnum Library Version 29.8
running ../../projects/boincvm.proxyma.ru_30080_test4vm/llr2_win64_201114.exe -oGerbicz=1 -oProofName=proof -oProofCount=64 -oProductName=prod -oPietrzak=1 -oCachePoints=1 -pSavePoints -q10841645805132531666786792405311319418846637043199917731151338^16384+1 -oPointsPerL2=8 -oGerbiczL=16 -oGerbiczL2=2048 -oSlidingWindow=7 -d -t4 -oDiskWriteTime=4
Gerbicz check is requested, switching to PRP.
Starting probable prime test of 10841645805132531666786792405311319418846637043199917731151338^16384+1
Using generic reduction AVX FFT length 336K, Pass1=448, Pass2=768, clm=2, 4 threads, a = 3, L2 = 16*128, M = 255
proof.8 is missing or corrupt.
14:45:02 (7212): called boinc_finish(0)

</stderr_txt>
<message>
upload failure: <file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_4</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_5</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_6</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_7</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_8</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_9</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_10</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_11</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
</message>
]]>

I've put my computers to no new work until problem is solved馃槒

With regards,
Hans Sveen
Oslo


PSS
My writing was too slow, problem is already explained !!
Sorry !!!
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stream
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Joined: 1 Mar 14
Posts: 981
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Credit: 543,185,506
RAC: 36,711
Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146166 - Posted: 5 Dec 2020 | 17:17:20 UTC

Update: you can just press "Update" button in Boinc client to force connection to server, and all affected tasks will be aborted.

Yves Gallot
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Credit: 305,166,630
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GFN Double Silver: Earned 200,000,000 credits (305,166,630)
Message 146254 - Posted: 7 Dec 2020 | 12:32:42 UTC

Here is a bit of probabilities.
The expected number of GF primes in [bmin; bmin + d] (where bmin >> d) is Cnd / (2n log bmin).
The mean gap between two primes is (#primes = 1) 螖b = log bmin 路 2n / Cn.
With mega-numbers log bmin 路 2n = log 10999999 = 2302582.79.
For GFN-14, we have C14 = 8.009684535 then 螖b = 287475.

The range was sieved to pmax = 36路1018. The sieve removed 80% candidates.
If 螖cand is the number of candidates for one prime, we have 螖cand = (螖b / 2) 路 20% = 28747.

Note that we could have used the estimate 螖cand = e-纬 log N / log pmax = 0.5614594836 x 2302582.79 / 45.03 = 28710.

The likelihood of success is L = 1 - e-位 where 位 = #cand / 螖cand.
L = 25%, #cand = 8264,
L = 50%, #cand = 19912,
L = 75%, #cand = 39824,
L = 97%, #cand = 100733.

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Discovered the World's First AP27!!!Discovered 11 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Emerald: Earned 50,000,000 credits (50,204,972)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,236,990)PPS LLR Emerald: Earned 50,000,000 credits (86,341,549)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Sapphire: Earned 20,000,000 credits (30,102,369)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,255)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (110,369,857)GFN Double Turquoise: Earned 5,000,000,000 credits (5,192,643,267)WW Emerald: Earned 50,000,000 credits (99,964,000)
Message 146459 - Posted: 9 Dec 2020 | 22:47:35 UTC - in response to Message 146254.

Here is a bit of probabilities.
The expected number of GF primes in [bmin; bmin + d] (where bmin >> d) is Cnd / (2n log bmin).
The mean gap between two primes is (#primes = 1) 螖b = log bmin 路 2n / Cn.
With mega-numbers log bmin 路 2n = log 10999999 = 2302582.79.
For GFN-14, we have C14 = 8.009684535 then 螖b = 287475.

The range was sieved to pmax = 36路1018. The sieve removed 80% candidates.
If 螖cand is the number of candidates for one prime, we have 螖cand = (螖b / 2) 路 20% = 28747.

Note that we could have used the estimate 螖cand = e-纬 log N / log pmax = 0.5614594836 x 2302582.79 / 45.03 = 28710.

The likelihood of success is L = 1 - e-位 where 位 = #cand / 螖cand.
L = 25%, #cand = 8264,
L = 50%, #cand = 19912,
L = 75%, #cand = 39824,
L = 97%, #cand = 100733.



Thanks Yves

Nice to know :)

Cheers

Rob.
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

Yves Gallot
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GFN Double Silver: Earned 200,000,000 credits (305,166,630)
Message 146478 - Posted: 10 Dec 2020 | 11:13:18 UTC
Last modified: 10 Dec 2020 | 11:13:44 UTC

1000 tasks/day, 4000 validated
Likelihood of success before Great Conjunction Challenge is
1 - exp(-(4000 + 11000) / 28747) = 40% !!!

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Discovered 1 mega prime321 LLR Gold: Earned 500,000 credits (652,718)Cullen LLR Silver: Earned 100,000 credits (221,150)ESP LLR Gold: Earned 500,000 credits (517,207)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,021,028)PPS LLR Ruby: Earned 2,000,000 credits (2,745,972)PSP LLR Gold: Earned 500,000 credits (616,940)SoB LLR Gold: Earned 500,000 credits (533,625)SR5 LLR Silver: Earned 100,000 credits (156,121)SGS LLR Gold: Earned 500,000 credits (726,147)TRP LLR Silver: Earned 100,000 credits (247,743)Woodall LLR Silver: Earned 100,000 credits (144,022)321 Sieve (suspended) Gold: Earned 500,000 credits (506,814)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (30,033)PPS Sieve Ruby: Earned 2,000,000 credits (3,566,518)AP 26/27 Amethyst: Earned 1,000,000 credits (1,770,834)GFN Turquoise: Earned 5,000,000 credits (5,556,507)WW Jade: Earned 10,000,000 credits (10,084,000)PSA Silver: Earned 100,000 credits (373,034)
Message 146485 - Posted: 10 Dec 2020 | 14:39:05 UTC

It's really interesting to see how both 'normal' and 'mega' GFN14 are being tested at the same time...
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146777 - Posted: 18 Dec 2020 | 8:14:55 UTC

A quick success!

On 17 Dec 2020, 12:38:09 UTC, PDW found a prime 10841645805132531666786792405311319418846637043199917731150000^16384+1 (at bmin+5920). Congratulations!

As you can see, bmin is very small. If workunit wasn't timed out and aborted twice before PDW grabbed it, the prime could be found on the first day of the search.

Main goal of project is reached, first GFN-14 MEGA Prime found. Project will be active and new work will be loaded for 3 months since day of the start, until 05 March 2021.

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 146778 - Posted: 18 Dec 2020 | 9:00:24 UTC - in response to Message 146777.

Congratulations! Nice one.

Not sure if I find it relevant to continue until March when the prime has already been found.

/JeppeSN

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321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Jade: Earned 10,000,000 credits (10,019,714)SoB LLR Turquoise: Earned 5,000,000 credits (8,430,937)SR5 LLR Silver: Earned 100,000 credits (100,048)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Turquoise: Earned 5,000,000 credits (5,492,312)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,171,955,526)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)WW Double Bronze: Earned 100,000,000 credits (100,000,000)PSA Ruby: Earned 2,000,000 credits (4,643,008)
Message 146779 - Posted: 18 Dec 2020 | 9:04:05 UTC - in response to Message 146777.

A quick success!

On 17 Dec 2020, 12:38:09 UTC, PDW found a prime 10841645805132531666786792405311319418846637043199917731150000^16384+1 (at bmin+5920). Congratulations!

As you can see, bmin is very small. If workunit wasn't timed out and aborted twice before PDW grabbed it, the prime could be found on the first day of the search.

Main goal of project is reached, first GFN-14 MEGA Prime found. Project will be active and new work will be loaded for 3 months since day of the start, until 05 March 2021.

Thank you :)

3rd time lucky, 1st and 2nd would be kicking themselves if they knew who they were.

That's also my 2021 goals met a year early :D

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Discovered the World's First AP27!!!Discovered 11 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Emerald: Earned 50,000,000 credits (50,204,972)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,236,990)PPS LLR Emerald: Earned 50,000,000 credits (86,341,549)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Sapphire: Earned 20,000,000 credits (30,102,369)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,255)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (110,369,857)GFN Double Turquoise: Earned 5,000,000,000 credits (5,192,643,267)WW Emerald: Earned 50,000,000 credits (99,964,000)
Message 146790 - Posted: 18 Dec 2020 | 11:08:14 UTC

Congrats PDW! Well done :)
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

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321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Jade: Earned 10,000,000 credits (10,019,714)SoB LLR Turquoise: Earned 5,000,000 credits (8,430,937)SR5 LLR Silver: Earned 100,000 credits (100,048)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Turquoise: Earned 5,000,000 credits (5,492,312)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,171,955,526)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)WW Double Bronze: Earned 100,000,000 credits (100,000,000)PSA Ruby: Earned 2,000,000 credits (4,643,008)
Message 146793 - Posted: 18 Dec 2020 | 11:44:03 UTC - in response to Message 146790.

Thank you, there's still that obligatory second one left to find, just waiting for stream to post that it is unlikely to happen first !

stream
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146795 - Posted: 18 Dec 2020 | 12:37:04 UTC - in response to Message 146778.

Not sure if I find it relevant to continue until March when the prime has already been found.

It's for WUProp hours. Although finding an exotic prime (even not a first one) can be a good goal itself too.

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Discovered 3 mega primesFound 2 primes in the 2020 Tour de PrimesFound 1 prime in the 2022 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (3,205,525)Cullen LLR Ruby: Earned 2,000,000 credits (2,029,968)ESP LLR Ruby: Earned 2,000,000 credits (3,663,835)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,140,232)PPS LLR Jade: Earned 10,000,000 credits (13,053,300)PSP LLR Turquoise: Earned 5,000,000 credits (5,008,887)SoB LLR Ruby: Earned 2,000,000 credits (2,082,753)SR5 LLR Turquoise: Earned 5,000,000 credits (5,241,816)SGS LLR Ruby: Earned 2,000,000 credits (2,083,368)TRP LLR Turquoise: Earned 5,000,000 credits (5,029,943)Woodall LLR Ruby: Earned 2,000,000 credits (2,016,314)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (4,125,872)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,260,299)PPS Sieve Emerald: Earned 50,000,000 credits (80,037,653)AP 26/27 Jade: Earned 10,000,000 credits (11,797,474)GFN Emerald: Earned 50,000,000 credits (89,970,560)WW Emerald: Earned 50,000,000 credits (51,368,000)PSA Emerald: Earned 50,000,000 credits (62,919,830)
Message 146833 - Posted: 19 Dec 2020 | 13:03:26 UTC

Congratulations PDW!

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Discovered 3 mega primesFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain StageFound 4 primes in the 2019 Tour de PrimesFound 2 primes in the 2019 Tour de Primes Mountain Stage2020 Tour de Primes most Mountain Stage primesFound 3 primes in the 2020 Tour de PrimesFound 2 primes in the 2020 Tour de Primes Mountain StageFound 1 prime in the 2021 Tour de PrimesFound 1 mega prime in the 2021 Tour de Primes2022 Tour de Primes most Mountain Stage primesFound 5 primes in the 2022 Tour de PrimesFound 4 primes in the 2022 Tour de Primes Mountain Stage321 LLR Turquoise: Earned 5,000,000 credits (5,715,099)Cullen LLR Ruby: Earned 2,000,000 credits (2,542,805)ESP LLR Jade: Earned 10,000,000 credits (12,054,435)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,004,849)PPS LLR Emerald: Earned 50,000,000 credits (79,781,015)PSP LLR Sapphire: Earned 20,000,000 credits (23,433,409)SoB LLR Jade: Earned 10,000,000 credits (18,172,051)SR5 LLR Sapphire: Earned 20,000,000 credits (31,554,813)SGS LLR Jade: Earned 10,000,000 credits (15,930,397)TRP LLR Jade: Earned 10,000,000 credits (10,238,249)Woodall LLR Ruby: Earned 2,000,000 credits (2,369,390)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,421,223)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,165,870)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,012,635)PPS Sieve Double Gold: Earned 500,000,000 credits (544,047,142)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (727,064)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,187,678)AP 26/27 Double Bronze: Earned 100,000,000 credits (102,663,899)GFN Double Silver: Earned 200,000,000 credits (369,528,385)WW Double Silver: Earned 200,000,000 credits (275,312,000)PSA Emerald: Earned 50,000,000 credits (52,983,083)
Message 146845 - Posted: 19 Dec 2020 | 18:11:57 UTC - in response to Message 146779.

A quick success!

On 17 Dec 2020, 12:38:09 UTC, PDW found a prime 10841645805132531666786792405311319418846637043199917731150000^16384+1 (at bmin+5920). Congratulations!

As you can see, bmin is very small. If workunit wasn't timed out and aborted twice before PDW grabbed it, the prime could be found on the first day of the search.

Main goal of project is reached, first GFN-14 MEGA Prime found. Project will be active and new work will be loaded for 3 months since day of the start, until 05 March 2021.

Thank you :)

3rd time lucky, 1st and 2nd would be kicking themselves if they knew who they were.

That's also my 2021 goals met a year early :D


I tried to go back and check, but I don't think it was me. I only see one WU in Error state for me, from Dec 5. It was finally completed by Robish, and it was very close to this prime:
10841645805132531666786792405311319418846637043199917731151866^16384+1
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146956 - Posted: 22 Dec 2020 | 20:48:14 UTC - in response to Message 146793.

Thank you, there's still that obligatory second one left to find, just waiting for stream to post that it is unlikely to happen first !

Today, all candidates below bmin+5920 were returned as composites, so a prime found by PDW is an official first/lowest GFN-14 Mega Prime!

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146977 - Posted: 23 Dec 2020 | 9:49:16 UTC

New prime at bmin+167796!

https://primes.utm.edu/primes/page.php?id=131496

Congratulations Pavel!

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 149141 - Posted: 3 Mar 2021 | 8:40:35 UTC

The GFN-14 MEGA prime search is close to planned finish, which will happen on March 05. After this day, no new work will be loaded and project will be shut down after cleanup of all currently loaded and pending tests. The goal of project has been successfully reached, finding 2 mega primes, and few last weeks project was run mostly for peoples who have own goals or need WuProp hours.

GFN-14 MEGA search will be replaced by next project in sequence, GFN-13 MEGA search. It's bmin will be much bigger, but still manageable and, I hope, we will be able to factor resulting b to prove that number is prime (otherwise, we can get mathematically proof only for PRP).

To avoid conflict with PrimeGrid activities (upcoming SoB challenge on March 14 and attempt to finish DIV project before SoB challenge), start of GFN-13 project will be delayed. Estimated start date of new project will be Saturday, March 27. It's possible that GFN-14 MEGA will be completely cleaned up before this point and no any GFN-MEGA tasks will be available for few days. In this case, feel free to join "LLR2 testing" subproject which is currently double-checking suspicious (single-residue) PrimeGrid PPS-MEGA tests and already found one missing PPS-MEGA prime.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 149674 - Posted: 26 Mar 2021 | 10:30:41 UTC
Last modified: 26 Mar 2021 | 10:31:45 UTC

GFN-13 MEGA will be started March 27, 2021 at 09:00 UTC

There are not much differences between GFN-14 MEGA and GFN-13 MEGA, so I combined all GFN-MEGA projects into single forum thread and wrote common top post.

GFN-13 MEGA task duration and granted credit will be very close to GFN-14 MEGA. The only difference is an application name for app_config.xml - it'll be gfn13_mega

Like in previous projects in series, mutlithreading (via app_config.xml) is highly recommended for most CPUs, but its efficiency is limited to 4 cores (i.e. using more then 4 cores will not give you noticeable boost, and extra cores will mostly stay idle).

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Discovered 1 mega prime321 LLR Gold: Earned 500,000 credits (652,718)Cullen LLR Silver: Earned 100,000 credits (221,150)ESP LLR Gold: Earned 500,000 credits (517,207)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,021,028)PPS LLR Ruby: Earned 2,000,000 credits (2,745,972)PSP LLR Gold: Earned 500,000 credits (616,940)SoB LLR Gold: Earned 500,000 credits (533,625)SR5 LLR Silver: Earned 100,000 credits (156,121)SGS LLR Gold: Earned 500,000 credits (726,147)TRP LLR Silver: Earned 100,000 credits (247,743)Woodall LLR Silver: Earned 100,000 credits (144,022)321 Sieve (suspended) Gold: Earned 500,000 credits (506,814)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (30,033)PPS Sieve Ruby: Earned 2,000,000 credits (3,566,518)AP 26/27 Amethyst: Earned 1,000,000 credits (1,770,834)GFN Turquoise: Earned 5,000,000 credits (5,556,507)WW Jade: Earned 10,000,000 credits (10,084,000)PSA Silver: Earned 100,000 credits (373,034)
Message 149683 - Posted: 26 Mar 2021 | 15:23:55 UTC - in response to Message 149674.
Last modified: 26 Mar 2021 | 15:24:16 UTC

GFN-13 MEGA will be started March 27, 2021 at 09:00 UTC

There are not much differences between GFN-14 MEGA and GFN-13 MEGA, so I combined all GFN-MEGA projects into single forum thread and wrote common top post.

GFN-13 MEGA task duration and granted credit will be very close to GFN-14 MEGA. The only difference is an application name for app_config.xml - it'll be gfn13_mega

Like in previous projects in series, mutlithreading (via app_config.xml) is highly recommended for most CPUs, but its efficiency is limited to 4 cores (i.e. using more then 4 cores will not give you noticeable boost, and extra cores will mostly stay idle).

Thank you stream and all other sievers and background people for making these MEGA searches possible!! Its been 3 searches now already!! Hope this one will be as fruitful as any!
____________
My lucky number is 6219*2^3374198+1


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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 149698 - Posted: 27 Mar 2021 | 8:47:45 UTC - in response to Message 149674.

GFN-13 MEGA will be started March 27, 2021 at 09:00 UTC


When I asked, "Would anyone find it interesting to locate the first megaprime for GFN16?", I had not expected this!

The numbers are becoming silly to even write. Should we change notations? For example, the first GFN-14 mega is:
10841645805132531666786792405311319418846637043199917731150000^16384 + 1

This can in fact be written shorter if we allow:
(floor(10^(999999/16384)) + 5922)^16384 + 1

For GFN-13, such a notation becomes even more economical.

What do you think? The Prime Pages do have a few entries where the function floor is used. Maybe we should ask Caldwell?

/JeppeSN

Peter Hucker of the Scottish Boinc Team
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Credit: 67,115,924
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321 LLR Silver: Earned 100,000 credits (117,162)Cullen LLR Silver: Earned 100,000 credits (199,800)ESP LLR Silver: Earned 100,000 credits (100,301)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,048)PPS LLR Bronze: Earned 10,000 credits (31,226)PSP LLR Silver: Earned 100,000 credits (296,161)SoB LLR Amethyst: Earned 1,000,000 credits (1,468,570)SR5 LLR Bronze: Earned 10,000 credits (44,401)SGS LLR Silver: Earned 100,000 credits (107,021)TRP LLR Bronze: Earned 10,000 credits (62,426)Woodall LLR Silver: Earned 100,000 credits (240,222)321 Sieve (suspended) Bronze: Earned 10,000 credits (30,838)PPS Sieve Turquoise: Earned 5,000,000 credits (5,004,308)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (16,965)TRP Sieve (suspended) Bronze: Earned 10,000 credits (14,492)AP 26/27 Jade: Earned 10,000,000 credits (12,275,843)GFN Sapphire: Earned 20,000,000 credits (44,764,537)WW Ruby: Earned 2,000,000 credits (2,200,000)
Message 149703 - Posted: 27 Mar 2021 | 10:31:30 UTC - in response to Message 149674.
Last modified: 27 Mar 2021 | 10:33:29 UTC

GFN-13 MEGA will be started March 27, 2021 at 09:00 UTC

There are not much differences between GFN-14 MEGA and GFN-13 MEGA, so I combined all GFN-MEGA projects into single forum thread and wrote common top post.

GFN-13 MEGA task duration and granted credit will be very close to GFN-14 MEGA. The only difference is an application name for app_config.xml - it'll be gfn13_mega

Like in previous projects in series, mutlithreading (via app_config.xml) is highly recommended for most CPUs, but its efficiency is limited to 4 cores (i.e. using more then 4 cores will not give you noticeable boost, and extra cores will mostly stay idle).

Is this correct to make them use 4 cores? I'd been running single core on the 14s, I didn't know you could multithread them (shouldn't it default to 4 if that's best, like the main primegrid ones do?):

<app_version> <app_name>gfn13_mega</app_name> <plan_class>mt</plan_class> <avg_ncpus>4</avg_ncpus> </app_version>

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Discovered the World's First AP27!!!Discovered 11 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Emerald: Earned 50,000,000 credits (50,204,972)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,236,990)PPS LLR Emerald: Earned 50,000,000 credits (86,341,549)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Sapphire: Earned 20,000,000 credits (30,102,369)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,255)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (110,369,857)GFN Double Turquoise: Earned 5,000,000,000 credits (5,192,643,267)WW Emerald: Earned 50,000,000 credits (99,964,000)
Message 149704 - Posted: 27 Mar 2021 | 10:38:39 UTC - in response to Message 149703.

GFN-13 MEGA will be started March 27, 2021 at 09:00 UTC

There are not much differences between GFN-14 MEGA and GFN-13 MEGA, so I combined all GFN-MEGA projects into single forum thread and wrote common top post.

GFN-13 MEGA task duration and granted credit will be very close to GFN-14 MEGA. The only difference is an application name for app_config.xml - it'll be gfn13_mega

Like in previous projects in series, mutlithreading (via app_config.xml) is highly recommended for most CPUs, but its efficiency is limited to 4 cores (i.e. using more then 4 cores will not give you noticeable boost, and extra cores will mostly stay idle).

Is this correct to make them use 4 cores? I'd been running single core on the 14s, I didn't know you could multithread them (shouldn't it default to 4 if that's best, like the main primegrid ones do?):

<app_version> <app_name>gfn13_mega</app_name> <plan_class>mt</plan_class> <avg_ncpus>4</avg_ncpus> </app_version>



<app_config> <app_version> <app_name>gfn13_mega</app_name> <cmdline>-t 4</cmdline> <avg_ncpus>4</avg_ncpus> </app_version> </app_config>


Yes 4 at most, try this 馃憤
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

Peter Hucker of the Scottish Boinc Team
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Posts: 144
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Credit: 67,115,924
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321 LLR Silver: Earned 100,000 credits (117,162)Cullen LLR Silver: Earned 100,000 credits (199,800)ESP LLR Silver: Earned 100,000 credits (100,301)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,048)PPS LLR Bronze: Earned 10,000 credits (31,226)PSP LLR Silver: Earned 100,000 credits (296,161)SoB LLR Amethyst: Earned 1,000,000 credits (1,468,570)SR5 LLR Bronze: Earned 10,000 credits (44,401)SGS LLR Silver: Earned 100,000 credits (107,021)TRP LLR Bronze: Earned 10,000 credits (62,426)Woodall LLR Silver: Earned 100,000 credits (240,222)321 Sieve (suspended) Bronze: Earned 10,000 credits (30,838)PPS Sieve Turquoise: Earned 5,000,000 credits (5,004,308)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (16,965)TRP Sieve (suspended) Bronze: Earned 10,000 credits (14,492)AP 26/27 Jade: Earned 10,000,000 credits (12,275,843)GFN Sapphire: Earned 20,000,000 credits (44,764,537)WW Ruby: Earned 2,000,000 credits (2,200,000)
Message 149705 - Posted: 27 Mar 2021 | 11:23:57 UTC - in response to Message 149704.

<app_config> <app_version> <app_name>gfn13_mega</app_name> <cmdline>-t 4</cmdline> <avg_ncpus>4</avg_ncpus> </app_version> </app_config>


Yes 4 at most, try this 馃憤

Thanks! That works. I accidentally downloaded loads of LLR2 tests, I had to change my prefs on the server as it seems the server prefers I do those.

My Ryzen 3900XT uses an average of a little over 3 cores when asked to use 4, and my Xeon X5650 uses 2.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 149743 - Posted: 29 Mar 2021 | 20:24:54 UTC

New LLR2 application (LLR2 version 1.1.1 2021-02-04, Boinc version 116) is installed (Linux only, Windows will be updated soon)

This version includes major update of gwnum (version 30.4) so it may contain unpredictable bugs (although certification will catch any possible calculation errors). Please report here if you'll notice something unusual.

New version of gwnum has improved multithreading support - is about 10% faster on GFN-MEGA tests in multithreaded setup. Speed of single-code tests is unchanged. Time per iteration on my home PC (4 cores):

Old version: 930 ms/bit
New version: 825 ms/bit

CPU usage also increased from 3.1 to 3.5 (on 4 cores).

Speed of Proth testing, most probably, was not changed, but I didn't tested much.

Also this version should read checkpoint files for tests with b <> 2 significantly faster. This improves speed of checkpoint compression at the end of test, but only in cases when LLR was restarted and checkpoint data had to be read again from disk. (It'll not affect cases when test was run continuously from beginning to end without interruption, because in this case checkpoint data is kept cached in memory and no need to read anything). A function which reads checkpoint data was completely rewritten by gwnum author, it may contain any new bugs, so please report everything unexpected.

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 149839 - Posted: 4 Apr 2021 | 8:51:25 UTC

Congratulations to mmonnin (@PrimeGrid) with the GFN-13 Mega. I hope you answer Stream's messages soon so we can add you and the prime on The PrimePages. /JeppeSN

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 149840 - Posted: 4 Apr 2021 | 12:34:14 UTC
Last modified: 4 Apr 2021 | 12:35:52 UTC

Yes, we have a prime! And it's proven. The base was successfully factorized in about a hour using yafu, and prime was proven by pfgw.

It seems to be a first T5K prime for mmonnin. Congratulations! mmonnin, please follow instructions I sent you in GFN Server PM. In short, the best way is just to edit your prime reporting preferences here on PrimeGrid.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 149891 - Posted: 7 Apr 2021 | 7:16:47 UTC

The GFN-13 MEGA Prime is on T5K.

https://primes.utm.edu/primes/page.php?id=132212

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GFN Double Silver: Earned 200,000,000 credits (305,166,630)
Message 149892 - Posted: 7 Apr 2021 | 8:09:52 UTC - in response to Message 149891.

The GFN-13 MEGA Prime is on T5K.

https://primes.utm.edu/primes/page.php?id=132212

Therefore this is 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000094467612695698498...
:-)
Congratulations to Marc Monnin and robish who sieved the range.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 150140 - Posted: 19 Apr 2021 | 10:07:19 UTC

And we have second GFN-13 MEGA prime! Congratulations PDW!

Since T5K site is currently under maintenance and reporting is broken, prime was not reported yet. All what I can say now is that base was factorized without any problems in a fraction of a second using YAFU, it had few small and one very big factor (109 digits).

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Discovered the World's First AP27!!!Discovered 11 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Emerald: Earned 50,000,000 credits (50,204,972)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,236,990)PPS LLR Emerald: Earned 50,000,000 credits (86,341,549)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Sapphire: Earned 20,000,000 credits (30,102,369)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,255)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (110,369,857)GFN Double Turquoise: Earned 5,000,000,000 credits (5,192,643,267)WW Emerald: Earned 50,000,000 credits (99,964,000)
Message 150141 - Posted: 19 Apr 2021 | 11:19:26 UTC

Congrats PDW! ...and could be the 1000th Mega recorded on T5K too? ;)
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

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321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Jade: Earned 10,000,000 credits (10,019,714)SoB LLR Turquoise: Earned 5,000,000 credits (8,430,937)SR5 LLR Silver: Earned 100,000 credits (100,048)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Turquoise: Earned 5,000,000 credits (5,492,312)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,171,955,526)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)WW Double Bronze: Earned 100,000,000 credits (100,000,000)PSA Ruby: Earned 2,000,000 credits (4,643,008)
Message 150142 - Posted: 19 Apr 2021 | 12:26:59 UTC - in response to Message 150141.

Thanks.

Could depend on how long T5K stays down and not accepting finds.
I could be wrong but I think the time/date of reporting on T5K dictates the order rather than the time/date actually found ?
If that's the case it might be reported as the 1000th when it wasn't ;)

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 150145 - Posted: 20 Apr 2021 | 8:57:44 UTC

Wow! Third GFN-13 MEGA prime, very close to previous one! Congratulations [SG-FC] dingdong! Very lucky find - according to stats, this user currently did only 64 tasks!

Again, base was factorized without problems. It had only two factors, first very small and second everything else.

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Discovered 3 mega primesFound 2 primes in the 2020 Tour de PrimesFound 1 prime in the 2022 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (3,205,525)Cullen LLR Ruby: Earned 2,000,000 credits (2,029,968)ESP LLR Ruby: Earned 2,000,000 credits (3,663,835)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,140,232)PPS LLR Jade: Earned 10,000,000 credits (13,053,300)PSP LLR Turquoise: Earned 5,000,000 credits (5,008,887)SoB LLR Ruby: Earned 2,000,000 credits (2,082,753)SR5 LLR Turquoise: Earned 5,000,000 credits (5,241,816)SGS LLR Ruby: Earned 2,000,000 credits (2,083,368)TRP LLR Turquoise: Earned 5,000,000 credits (5,029,943)Woodall LLR Ruby: Earned 2,000,000 credits (2,016,314)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (4,125,872)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,260,299)PPS Sieve Emerald: Earned 50,000,000 credits (80,037,653)AP 26/27 Jade: Earned 10,000,000 credits (11,797,474)GFN Emerald: Earned 50,000,000 credits (89,970,560)WW Emerald: Earned 50,000,000 credits (51,368,000)PSA Emerald: Earned 50,000,000 credits (62,919,830)
Message 150146 - Posted: 20 Apr 2021 | 13:03:44 UTC

Nice! Congratulations all!

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321 LLR Silver: Earned 100,000 credits (117,162)Cullen LLR Silver: Earned 100,000 credits (199,800)ESP LLR Silver: Earned 100,000 credits (100,301)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,048)PPS LLR Bronze: Earned 10,000 credits (31,226)PSP LLR Silver: Earned 100,000 credits (296,161)SoB LLR Amethyst: Earned 1,000,000 credits (1,468,570)SR5 LLR Bronze: Earned 10,000 credits (44,401)SGS LLR Silver: Earned 100,000 credits (107,021)TRP LLR Bronze: Earned 10,000 credits (62,426)Woodall LLR Silver: Earned 100,000 credits (240,222)321 Sieve (suspended) Bronze: Earned 10,000 credits (30,838)PPS Sieve Turquoise: Earned 5,000,000 credits (5,004,308)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (16,965)TRP Sieve (suspended) Bronze: Earned 10,000 credits (14,492)AP 26/27 Jade: Earned 10,000,000 credits (12,275,843)GFN Sapphire: Earned 20,000,000 credits (44,764,537)WW Ruby: Earned 2,000,000 credits (2,200,000)
Message 150225 - Posted: 28 Apr 2021 | 11:15:49 UTC - in response to Message 149704.

Does the "LLR2 testing" subproject do multithreading aswell?

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 150227 - Posted: 28 Apr 2021 | 13:42:47 UTC - in response to Message 150225.

Does the "LLR2 testing" subproject do multithreading aswell?

Yes, and it's currently recommended (at least until we drop down below n=2M). Application name for app_config.xml is llr2

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321 LLR Silver: Earned 100,000 credits (117,162)Cullen LLR Silver: Earned 100,000 credits (199,800)ESP LLR Silver: Earned 100,000 credits (100,301)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,048)PPS LLR Bronze: Earned 10,000 credits (31,226)PSP LLR Silver: Earned 100,000 credits (296,161)SoB LLR Amethyst: Earned 1,000,000 credits (1,468,570)SR5 LLR Bronze: Earned 10,000 credits (44,401)SGS LLR Silver: Earned 100,000 credits (107,021)TRP LLR Bronze: Earned 10,000 credits (62,426)Woodall LLR Silver: Earned 100,000 credits (240,222)321 Sieve (suspended) Bronze: Earned 10,000 credits (30,838)PPS Sieve Turquoise: Earned 5,000,000 credits (5,004,308)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (16,965)TRP Sieve (suspended) Bronze: Earned 10,000 credits (14,492)AP 26/27 Jade: Earned 10,000,000 credits (12,275,843)GFN Sapphire: Earned 20,000,000 credits (44,764,537)WW Ruby: Earned 2,000,000 credits (2,200,000)
Message 150232 - Posted: 28 Apr 2021 | 18:17:02 UTC - in response to Message 150227.
Last modified: 28 Apr 2021 | 18:17:16 UTC

Does the "LLR2 testing" subproject do multithreading aswell?

Yes, and it's currently recommended (at least until we drop down below n=2M). Application name for app_config.xml is llr2

Thanks, shall I use 3 threads as per the MEGA?

And is this right?


<app_config> <app_version> <app_name>llr2</app_name> <cmdline>-t 3</cmdline> <avg_ncpus>3</avg_ncpus> </app_version> </app_config>

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 150235 - Posted: 28 Apr 2021 | 20:23:17 UTC - in response to Message 150232.

Thanks, shall I use 3 threads as per the MEGA?

It depends on CPU. This is a Proth test and it scales well, so Intel is OK with 4 cores. I think that there is no need to go higher - when we finish k=7, tasks will be shorter and multithreading will be less efficient. On Ryzen, number of cores must match chip structure to keep task within single CPU block.

And is this right?

Yes, it's fine. Everything is same for all apps, just change application name.

Peter Hucker of the Scottish Boinc Team
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Credit: 67,115,924
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321 LLR Silver: Earned 100,000 credits (117,162)Cullen LLR Silver: Earned 100,000 credits (199,800)ESP LLR Silver: Earned 100,000 credits (100,301)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,048)PPS LLR Bronze: Earned 10,000 credits (31,226)PSP LLR Silver: Earned 100,000 credits (296,161)SoB LLR Amethyst: Earned 1,000,000 credits (1,468,570)SR5 LLR Bronze: Earned 10,000 credits (44,401)SGS LLR Silver: Earned 100,000 credits (107,021)TRP LLR Bronze: Earned 10,000 credits (62,426)Woodall LLR Silver: Earned 100,000 credits (240,222)321 Sieve (suspended) Bronze: Earned 10,000 credits (30,838)PPS Sieve Turquoise: Earned 5,000,000 credits (5,004,308)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (16,965)TRP Sieve (suspended) Bronze: Earned 10,000 credits (14,492)AP 26/27 Jade: Earned 10,000,000 credits (12,275,843)GFN Sapphire: Earned 20,000,000 credits (44,764,537)WW Ruby: Earned 2,000,000 credits (2,200,000)
Message 150237 - Posted: 29 Apr 2021 | 0:18:38 UTC - in response to Message 150235.

Thanks, shall I use 3 threads as per the MEGA?

It depends on CPU. This is a Proth test and it scales well, so Intel is OK with 4 cores. I think that there is no need to go higher - when we finish k=7, tasks will be shorter and multithreading will be less efficient. On Ryzen, number of cores must match chip structure to keep task within single CPU block.

And is this right?

Yes, it's fine. Everything is same for all apps, just change application name.

I can't find Ryzen chip structure anywhere, I've seen it before somewhere. Google is not working! Any mention of "block" gives me water cooling blocks. And structure just gives me general specs and gaming benchmarks. It's a Ryzen 3900XT if anyone knows how they look inside. All my other machines are Intel, from an i5 8600K to an ancient DDR2 thing.

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Discovered 2 mega primes321 LLR Sapphire: Earned 20,000,000 credits (20,008,344)Cullen LLR Sapphire: Earned 20,000,000 credits (20,000,917)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,011,942)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Sapphire: Earned 20,000,000 credits (20,008,714)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Sapphire: Earned 20,000,000 credits (20,004,459)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (49,900,913)AP 26/27 Sapphire: Earned 20,000,000 credits (45,002,633)GFN Double Silver: Earned 200,000,000 credits (200,000,012)WW Sapphire: Earned 20,000,000 credits (45,004,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 150238 - Posted: 29 Apr 2021 | 1:16:05 UTC - in response to Message 150237.

Thanks, shall I use 3 threads as per the MEGA?

It depends on CPU. This is a Proth test and it scales well, so Intel is OK with 4 cores. I think that there is no need to go higher - when we finish k=7, tasks will be shorter and multithreading will be less efficient. On Ryzen, number of cores must match chip structure to keep task within single CPU block.

And is this right?

Yes, it's fine. Everything is same for all apps, just change application name.

I can't find Ryzen chip structure anywhere, I've seen it before somewhere. Google is not working! Any mention of "block" gives me water cooling blocks. And structure just gives me general specs and gaming benchmarks. It's a Ryzen 3900XT if anyone knows how they look inside. All my other machines are Intel, from an i5 8600K to an ancient DDR2 thing.


For the 3900XT, your best throughput right now will still be single-threaded. The second best would probably be 3 threads per task; but only if you are using some software like Affinity Watcher or Process Lasso to keep the tasks on adjacent cores in the CPU. The 3900XT can be thought of as 4 separate CPUs with 3 cores each. They can communicate with each other, but relatively slowly, so if you keep the tasks in each mini-CPU (CCX is the proper term in this case), you will see the best performance for multi-threading LLR tasks, as long as you stay under the 16MB cache limit.

Ultimately, for the 3900XT, for the remainder of the 100,000,000+ tasks on LLR2 Testing on Stream's server; single-threaded is your best bet.

Peter Hucker of the Scottish Boinc Team
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Joined: 23 Sep 06
Posts: 144
ID: 3541
Credit: 67,115,924
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321 LLR Silver: Earned 100,000 credits (117,162)Cullen LLR Silver: Earned 100,000 credits (199,800)ESP LLR Silver: Earned 100,000 credits (100,301)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,048)PPS LLR Bronze: Earned 10,000 credits (31,226)PSP LLR Silver: Earned 100,000 credits (296,161)SoB LLR Amethyst: Earned 1,000,000 credits (1,468,570)SR5 LLR Bronze: Earned 10,000 credits (44,401)SGS LLR Silver: Earned 100,000 credits (107,021)TRP LLR Bronze: Earned 10,000 credits (62,426)Woodall LLR Silver: Earned 100,000 credits (240,222)321 Sieve (suspended) Bronze: Earned 10,000 credits (30,838)PPS Sieve Turquoise: Earned 5,000,000 credits (5,004,308)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (16,965)TRP Sieve (suspended) Bronze: Earned 10,000 credits (14,492)AP 26/27 Jade: Earned 10,000,000 credits (12,275,843)GFN Sapphire: Earned 20,000,000 credits (44,764,537)WW Ruby: Earned 2,000,000 credits (2,200,000)
Message 150243 - Posted: 29 Apr 2021 | 11:03:26 UTC - in response to Message 150238.
Last modified: 29 Apr 2021 | 11:04:48 UTC

Thanks, shall I use 3 threads as per the MEGA?

It depends on CPU. This is a Proth test and it scales well, so Intel is OK with 4 cores. I think that there is no need to go higher - when we finish k=7, tasks will be shorter and multithreading will be less efficient. On Ryzen, number of cores must match chip structure to keep task within single CPU block.

And is this right?

Yes, it's fine. Everything is same for all apps, just change application name.

I can't find Ryzen chip structure anywhere, I've seen it before somewhere. Google is not working! Any mention of "block" gives me water cooling blocks. And structure just gives me general specs and gaming benchmarks. It's a Ryzen 3900XT if anyone knows how they look inside. All my other machines are Intel, from an i5 8600K to an ancient DDR2 thing.


For the 3900XT, your best throughput right now will still be single-threaded. The second best would probably be 3 threads per task; but only if you are using some software like Affinity Watcher or Process Lasso to keep the tasks on adjacent cores in the CPU. The 3900XT can be thought of as 4 separate CPUs with 3 cores each. They can communicate with each other, but relatively slowly, so if you keep the tasks in each mini-CPU (CCX is the proper term in this case), you will see the best performance for multi-threading LLR tasks, as long as you stay under the 16MB cache limit.

Ultimately, for the 3900XT, for the remainder of the 100,000,000+ tasks on LLR2 Testing on Stream's server; single-threaded is your best bet.

Thanks. Sorry to ask, but can you give me an estimation of what's best for my other machines? They're all Intels. i5 8600K (6 core), Xeon X5650 (6 core + HT) x 2 CPUs per machine, and 3 older ones: N3700 (4 core), Q8400 (4 core), i3 350M (2 core + HT).

Also I'm assuming it's best to turn the HT off?

Do these estimates apply to the MEGA project?

Kellen
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Credit: 1,600,003,090
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Discovered 2 mega primes321 LLR Sapphire: Earned 20,000,000 credits (20,008,344)Cullen LLR Sapphire: Earned 20,000,000 credits (20,000,917)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,011,942)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Sapphire: Earned 20,000,000 credits (20,008,714)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Sapphire: Earned 20,000,000 credits (20,004,459)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (49,900,913)AP 26/27 Sapphire: Earned 20,000,000 credits (45,002,633)GFN Double Silver: Earned 200,000,000 credits (200,000,012)WW Sapphire: Earned 20,000,000 credits (45,004,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 150244 - Posted: 29 Apr 2021 | 11:55:03 UTC - in response to Message 150243.

Thanks. Sorry to ask, but can you give me an estimation of what's best for my other machines? They're all Intels. i5 8600K (6 core), Xeon X5650 (6 core + HT) x 2 CPUs per machine, and 3 older ones: N3700 (4 core), Q8400 (4 core), i3 350M (2 core + HT).

Also I'm assuming it's best to turn the HT off?

Do these estimates apply to the MEGA project?


I would guess that the i5-8600k and Xeon X5650 would do best running 3 tasks with 2 cores each, and that the N3700, Q8400 and i3-350M would do best running a single task with all cores, due to their smaller cache sizes.

You can turn hyperthreading off in the BIOS if you want, or you can tell BOINC to only use 50% of the CPUs if you leave hyperthreading on. For the dual Xeon system, it will also be important to use a program like Affinity Watcher or Process Lasso to make sure that the tasks are staying on the same CPU.

These estimates might apply to the MEGA project, but LLR2 Testing is well above that point right now in terms of test size, so they might be a bit off, but they'd probably be close.

Enjoy :)

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321 LLR Silver: Earned 100,000 credits (117,162)Cullen LLR Silver: Earned 100,000 credits (199,800)ESP LLR Silver: Earned 100,000 credits (100,301)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,048)PPS LLR Bronze: Earned 10,000 credits (31,226)PSP LLR Silver: Earned 100,000 credits (296,161)SoB LLR Amethyst: Earned 1,000,000 credits (1,468,570)SR5 LLR Bronze: Earned 10,000 credits (44,401)SGS LLR Silver: Earned 100,000 credits (107,021)TRP LLR Bronze: Earned 10,000 credits (62,426)Woodall LLR Silver: Earned 100,000 credits (240,222)321 Sieve (suspended) Bronze: Earned 10,000 credits (30,838)PPS Sieve Turquoise: Earned 5,000,000 credits (5,004,308)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (16,965)TRP Sieve (suspended) Bronze: Earned 10,000 credits (14,492)AP 26/27 Jade: Earned 10,000,000 credits (12,275,843)GFN Sapphire: Earned 20,000,000 credits (44,764,537)WW Ruby: Earned 2,000,000 credits (2,200,000)
Message 150246 - Posted: 29 Apr 2021 | 12:05:49 UTC - in response to Message 150244.
Last modified: 29 Apr 2021 | 12:06:54 UTC

I would guess that the i5-8600k and Xeon X5650 would do best running 3 tasks with 2 cores each, and that the N3700, Q8400 and i3-350M would do best running a single task with all cores, due to their smaller cache sizes.

You can turn hyperthreading off in the BIOS if you want, or you can tell BOINC to only use 50% of the CPUs if you leave hyperthreading on. For the dual Xeon system, it will also be important to use a program like Affinity Watcher or Process Lasso to make sure that the tasks are staying on the same CPU.

These estimates might apply to the MEGA project, but LLR2 Testing is well above that point right now in terms of test size, so they might be a bit off, but they'd probably be close.

Enjoy :)

Thanks very much. I run other projects, but I've started concentrating on one at a time (well one for CPU and another for GPU sometimes). Some projects don't care if HT is on, most go faster with HT, but Prime goes slower. So I'll set Boinc to 100% or 50% accordingly when I change project.

I'll take your word for it on the number of cores per task for each computer, as I don't feel like running a load of tests all day!

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Discovered 2 mega primesFound 2 primes in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 prime in the 2022 Tour de Primes Mountain Stage321 LLR Turquoise: Earned 5,000,000 credits (6,748,491)Cullen LLR Turquoise: Earned 5,000,000 credits (5,549,837)ESP LLR Turquoise: Earned 5,000,000 credits (6,109,256)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,805,919)PPS LLR Sapphire: Earned 20,000,000 credits (41,348,592)PSP LLR Turquoise: Earned 5,000,000 credits (8,106,552)SoB LLR Jade: Earned 10,000,000 credits (10,000,233)SR5 LLR Jade: Earned 10,000,000 credits (11,099,073)SGS LLR Turquoise: Earned 5,000,000 credits (5,837,517)TRP LLR Turquoise: Earned 5,000,000 credits (8,893,750)Woodall LLR Turquoise: Earned 5,000,000 credits (5,629,799)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,001,504)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,203,942)PPS Sieve Emerald: Earned 50,000,000 credits (62,039,884)AP 26/27 Sapphire: Earned 20,000,000 credits (23,526,217)GFN Sapphire: Earned 20,000,000 credits (38,203,252)WW Double Bronze: Earned 100,000,000 credits (180,556,000)PSA Emerald: Earned 50,000,000 credits (62,438,463)
Message 150258 - Posted: 1 May 2021 | 16:25:36 UTC - in response to Message 150140.


Since T5K site is currently under maintenance and reporting is broken, prime was not reported yet.

Everything seems to be working again.

stream
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 150265 - Posted: 2 May 2021 | 9:42:34 UTC

Two pending primes reported, status page updated - it'll now show links to T5K pages.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 150353 - Posted: 10 May 2021 | 7:03:49 UTC

Another prime found! What a productive N, 4 primes in just a 350K range! (all previous searches were stopped with just two primes)

Congratulations LCB001!

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Discovered 3 mega primesFound 2 primes in the 2020 Tour de PrimesFound 1 prime in the 2022 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (3,205,525)Cullen LLR Ruby: Earned 2,000,000 credits (2,029,968)ESP LLR Ruby: Earned 2,000,000 credits (3,663,835)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,140,232)PPS LLR Jade: Earned 10,000,000 credits (13,053,300)PSP LLR Turquoise: Earned 5,000,000 credits (5,008,887)SoB LLR Ruby: Earned 2,000,000 credits (2,082,753)SR5 LLR Turquoise: Earned 5,000,000 credits (5,241,816)SGS LLR Ruby: Earned 2,000,000 credits (2,083,368)TRP LLR Turquoise: Earned 5,000,000 credits (5,029,943)Woodall LLR Ruby: Earned 2,000,000 credits (2,016,314)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (4,125,872)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,260,299)PPS Sieve Emerald: Earned 50,000,000 credits (80,037,653)AP 26/27 Jade: Earned 10,000,000 credits (11,797,474)GFN Emerald: Earned 50,000,000 credits (89,970,560)WW Emerald: Earned 50,000,000 credits (51,368,000)PSA Emerald: Earned 50,000,000 credits (62,919,830)
Message 150361 - Posted: 10 May 2021 | 16:57:18 UTC

Nice one!

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 150645 - Posted: 15 Jun 2021 | 17:55:24 UTC

And we have a fifth prime! Unbelievable! Congratulations PDW, it's a his second prime in GFN-13-MEGA project!

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 150704 - Posted: 27 Jun 2021 | 7:23:31 UTC

Three months passed, no new work will be loaded, cleanup of remaining work started. Currently work is loaded up to bmin+600000, and about 7000 tasks left. Participation is varying, with current rates cleanup may take from 3 to 6 weeks.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 150806 - Posted: 13 Jul 2021 | 13:25:01 UTC

GFN-13 MEGA is coming to the end. About 4 days of new work left at current rate. After that, only occasional resent tasks will be available.

Next project, GFN-12 MEGA, will be started shortly after the end of PrimeGrid challenge. Exact date will be announced later.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 150942 - Posted: 24 Jul 2021 | 16:03:15 UTC

We're ready to continue!

GFN-12 MEGA will be started on Monday, July 26, at 09:00 UTC.

It should be not much difference on client side. All GFN-MEGA tasks have same FFT size and same runtime. Multithreading is recommended.

It's not decided yet, but this project can be last in the series. To prove found number as a prime, we must factorize 'b'. In GFN-12 MEGA, 'b' is 245 digits long. Factorizing such number will be quite a challenge. 'b' for GFN-11 MEGA will be two times longer.

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Discovered 12 mega primesFound 12 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 6 primes in the 2019 Tour de PrimesFound 7 primes in the 2020 Tour de PrimesFound 2 mega primes in the 2020 Tour de PrimesFound 1 prime in the 2020 Tour de Primes Mountain StageFound 16 primes in the 2021 Tour de PrimesFound 2 mega primes in the 2021 Tour de PrimesFound 2 primes in the 2021 Tour de Primes Mountain StageFound 8 primes in the 2022 Tour de PrimesFound 3 mega primes in the 2022 Tour de Primes321 LLR Emerald: Earned 50,000,000 credits (69,257,647)Cullen LLR Emerald: Earned 50,000,000 credits (75,471,749)ESP LLR Emerald: Earned 50,000,000 credits (51,847,380)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (100,504,074)PPS LLR Double Silver: Earned 200,000,000 credits (303,045,947)PSP LLR Double Bronze: Earned 100,000,000 credits (139,883,108)SoB LLR Double Bronze: Earned 100,000,000 credits (116,853,798)SR5 LLR Double Bronze: Earned 100,000,000 credits (108,186,478)SGS LLR Double Bronze: Earned 100,000,000 credits (115,240,976)TPS LLR (retired) Bronze: Earned 10,000 credits (76,266)TRP LLR Emerald: Earned 50,000,000 credits (98,577,299)Woodall LLR Double Bronze: Earned 100,000,000 credits (102,333,560)321 Sieve (suspended) Double Silver: Earned 200,000,000 credits (205,512,337)Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (35,459,921)Generalized Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (103,015,099)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (3,677,876,802)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (11,101,054)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (25,930,215)AP 26/27 Double Gold: Earned 500,000,000 credits (522,351,708)GFN Double Gold: Earned 500,000,000 credits (874,473,762)WW Double Gold: Earned 500,000,000 credits (783,436,000)PSA Double Bronze: Earned 100,000,000 credits (102,345,581)
Message 150945 - Posted: 25 Jul 2021 | 7:38:01 UTC

Looking forward to this next search. Thanks for the announcement stream.
____________

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151005 - Posted: 3 Aug 2021 | 8:55:45 UTC

Well, it didn't take long...

First GFN-12 MEGA prime found by PDW!

(Not surprised at all, considering that he is #1 in charts :-)

Congratulations!

Additional information will be posted later, when I'll finish factorization of the base and verification of the prime.

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151016 - Posted: 4 Aug 2021 | 17:14:24 UTC - in response to Message 151005.
Last modified: 4 Aug 2021 | 17:20:48 UTC

It sounds like you believe the factorization of b will finish. /JeppeSN

Edit: I see it is submitted as https://primes.utm.edu/primes/page.php?id=132584.

Edit 2: Also see the b is submitted as http://factordb.com/index.php?id=1100000002638706977.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151017 - Posted: 4 Aug 2021 | 19:52:59 UTC - in response to Message 151016.

It sounds like you believe the factorization of b will finish.

May be I was very lucky, but it took only few minutes before two last factors (including huge one) popped out during one of ECM passes of YAFU, and factorization was complete. I didn't believed it first, but tested big number and it was prime. Well, so be it.

I had more problems with few GFN-13-MEGA b's, where nothing was found during ECM and trivial stages, so YAFU used quadratic sieve, which took few hours.

Edit 2: Also see the b is submitted as http://factordb.com/index.php?id=1100000002638706977.

Hmm... Not me.

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151019 - Posted: 4 Aug 2021 | 20:11:28 UTC - in response to Message 151017.

If we are unlucky and hit a base with two prime factors over 100 decimal digits, then it will be extremely hard to factor. I think it was lucky that second-largest prime factor had no more than 29 digits. /JeppeSN

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Message 151020 - Posted: 4 Aug 2021 | 21:15:39 UTC - in response to Message 151019.

If we are unlucky and hit a base with two prime factors over 100 decimal digits, then it will be extremely hard to factor. I think it was lucky that second-largest prime factor had no more than 29 digits. /JeppeSN

The probabilities can be computed with the Dickman function.
For the largest prime factor we have alpha = log(1617...0401)/log(b) ~ 0.861. The probability that alpha >= 0.861 is about 15%.
For the second largest prime factor we have alpha = log(39002209166721466412601474313)/log(b) ~ 0.136. The probability that alpha <= 0.136 is about 28.4%.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151160 - Posted: 15 Aug 2021 | 21:08:36 UTC

And second prime, at bmin+136684, was found by robish. Congratulations with this well-deserved discovery! (Robish is #2 in project stats).

No problem with factorization again - less then two seconds of ECM testing. Are we still extremely lucky?

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151162 - Posted: 15 Aug 2021 | 22:17:21 UTC - in response to Message 151160.

This time the second-largest prime factor has only 11 digits. /JeppeSN

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321 LLR Ruby: Earned 2,000,000 credits (2,092,823)Cullen LLR Ruby: Earned 2,000,000 credits (2,315,295)ESP LLR Ruby: Earned 2,000,000 credits (2,151,088)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,620,968)PPS LLR Jade: Earned 10,000,000 credits (10,062,851)PSP LLR Ruby: Earned 2,000,000 credits (2,064,832)SoB LLR Ruby: Earned 2,000,000 credits (2,434,466)SR5 LLR Ruby: Earned 2,000,000 credits (2,065,004)SGS LLR Ruby: Earned 2,000,000 credits (2,027,649)TRP LLR Ruby: Earned 2,000,000 credits (2,089,856)Woodall LLR Ruby: Earned 2,000,000 credits (2,112,258)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,107,153)PPS Sieve Turquoise: Earned 5,000,000 credits (5,096,952)AP 26/27 Turquoise: Earned 5,000,000 credits (5,797,662)GFN Jade: Earned 10,000,000 credits (10,874,159)WW Double Silver: Earned 200,000,000 credits (349,980,000)PSA Amethyst: Earned 1,000,000 credits (1,042,601)
Message 151184 - Posted: 17 Aug 2021 | 15:54:29 UTC - in response to Message 151162.
Last modified: 17 Aug 2021 | 15:55:43 UTC

How long would the primality test take if the base isn't factored?

With numbers that size it isn't unlikely that you're left with a 190 or more digit co-factor that isn't acessible by ECM. And NFS would take more than a year on a single computer.

On the other hand, I think highly composite bases are more likely to produce a prime within a given range. On yet another hand, they could have a lot of small, 10 digit factors and still have a 210 digit co-factor that's very hard to factor.
____________
1281979 * 2^485014 + 1 is prime ... no further hits up to: n = 5,700,000

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151286 - Posted: 26 Aug 2021 | 4:28:12 UTC

The third prime is found! Congratulations PDW (again :)

Factorization and verification is still in progress. The prime will be visible when done (or considered to be impossible)

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Discovered 24 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2020 Tour de PrimesFound 1 mega prime in the 2020 Tour de PrimesFound 3 primes in the 2021 Tour de PrimesFound 3 mega primes in the 2021 Tour de PrimesFound 2 primes in the 2022 Tour de PrimesFound 2 mega primes in the 2022 Tour de PrimesFound 1 prime in the 2022 Tour de Primes Mountain StageFound 1 mega prime  in the 2022 Tour de Primes Mountain Stage321 LLR Sapphire: Earned 20,000,000 credits (35,598,151)Cullen LLR Sapphire: Earned 20,000,000 credits (25,502,466)ESP LLR Sapphire: Earned 20,000,000 credits (30,127,325)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (30,202,569)PPS LLR Double Bronze: Earned 100,000,000 credits (143,741,828)PSP LLR Sapphire: Earned 20,000,000 credits (34,973,901)SoB LLR Sapphire: Earned 20,000,000 credits (30,740,403)SR5 LLR Emerald: Earned 50,000,000 credits (94,548,597)SGS LLR Sapphire: Earned 20,000,000 credits (30,255,260)TRP LLR Sapphire: Earned 20,000,000 credits (32,509,776)Woodall LLR Sapphire: Earned 20,000,000 credits (29,192,741)321 Sieve (suspended) Emerald: Earned 50,000,000 credits (50,559,131)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,297,856)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,711,622)PPS Sieve Double Gold: Earned 500,000,000 credits (751,714,284)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (11,707,274)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,316,578)AP 26/27 Double Gold: Earned 500,000,000 credits (502,465,645)GFN Double Gold: Earned 500,000,000 credits (780,587,536)WW Double Gold: Earned 500,000,000 credits (617,884,000)PSA Emerald: Earned 50,000,000 credits (76,751,649)
Message 151338 - Posted: 1 Sep 2021 | 3:43:41 UTC - in response to Message 151005.
Last modified: 1 Sep 2021 | 3:49:35 UTC

NM. I see my answer is in the OP. D'oh!
____________
Reno, NV

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151366 - Posted: 3 Sep 2021 | 19:47:58 UTC - in response to Message 151286.

The third prime is found! Congratulations PDW (again :)

Factorization and verification is still in progress. The prime will be visible when done (or considered to be impossible)

Over eight days have passed? Maybe we really found a prime whose base is "impossible" to factor sufficiently? /JeppeSN

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Discovered the World's First AP27!!!Discovered 11 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Emerald: Earned 50,000,000 credits (50,204,972)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,236,990)PPS LLR Emerald: Earned 50,000,000 credits (86,341,549)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Sapphire: Earned 20,000,000 credits (30,102,369)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,255)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (110,369,857)GFN Double Turquoise: Earned 5,000,000,000 credits (5,192,643,267)WW Emerald: Earned 50,000,000 credits (99,964,000)
Message 151368 - Posted: 3 Sep 2021 | 20:32:07 UTC - in response to Message 151366.

The third prime is found! Congratulations PDW (again :)

Factorization and verification is still in progress. The prime will be visible when done (or considered to be impossible)

Over eight days have passed? Maybe we really found a prime whose base is "impossible" to factor sufficiently? /JeppeSN


I was wondering the same thing 馃
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151373 - Posted: 4 Sep 2021 | 9:33:57 UTC - in response to Message 151366.

Over eight days have passed? Maybe we really found a prime whose base is "impossible" to factor sufficiently?


Yes, this beast is hard.

After preliminary factorization and some quick ECM, it ended up with 225-digits composite.

Pavel attacked it with his new ECM factorization program, but no luck yet.

I'm also running it in background using YAFU ECM, it's slow because YAFU is running ECM single-threaded, and I didn't understand is it possible to make it multithreaded or not. Anyway, YAFU (if I understood its output correctly) should reach optimal point for 50-digits factor within next week.
08/25/21 21:35:25 v1.34.5 @ ubuntu18, current ECM pretesting depth: 40.63 08/25/21 21:35:25 v1.34.5 @ ubuntu18, scheduled 4480 curves at B1=11000000 toward target pretesting depth of 69.23 08/28/21 05:40:57 v1.34.5 @ ubuntu18, Finished 4480 curves using Lenstra ECM method on C225 input, B1=11M, B2=gmp-ecm default 08/28/21 05:40:57 v1.34.5 @ ubuntu18, current ECM pretesting depth: 45.73 08/28/21 05:40:57 v1.34.5 @ ubuntu18, scheduled 7553 curves at B1=43000000 toward target pretesting depth of 69.23

As far I understand, on each step it advanced "pretesting depth" by 5 digits and schedules optimal set of curves (choosing new B1 and number of curves) for this point. It seems that even next step of 55 digits will require many weeks on single thread, and target depth of 69 digits is far out of reach.

I don't know how deep Pavel get (and is it applicable to his method or not).

I tried to learn NFS, and have cado-nfs server up and running. Everything is on default settings, using 230-digits profile supplied with cado. Look like I can build a polynomial in reasonable time even with my office computers, but have no idea yet how long sieving phase will take.


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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151375 - Posted: 4 Sep 2021 | 10:50:43 UTC

Exciting.

I think we need to factor at least 33%, so a composite cofactor can have at most ~163 digits (given that the full b is 245 digits). If the current cofactor is 225 digits, we need to shave off about 62 digits.

I guess someone somewhere would know of a way to attack the factorization of a single number with a distributed approach (maybe even BOINC). There have been famous numbers, including those from the RSA challenge, which people have wanted to factor.

/JeppeSN

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Discovered 9 mega primesFound 5 primes in the 2020 Tour de PrimesFound 2 mega primes in the 2020 Tour de PrimesFound 4 primes in the 2021 Tour de PrimesFound 2 mega primes in the 2021 Tour de PrimesFound 3 primes in the 2022 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (23,436,311)Cullen LLR Emerald: Earned 50,000,000 credits (50,743,293)ESP LLR Sapphire: Earned 20,000,000 credits (39,213,745)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (50,473,530)PPS LLR Emerald: Earned 50,000,000 credits (75,402,242)PSP LLR Emerald: Earned 50,000,000 credits (51,069,305)SoB LLR Emerald: Earned 50,000,000 credits (51,885,310)SR5 LLR Sapphire: Earned 20,000,000 credits (20,183,763)SGS LLR Sapphire: Earned 20,000,000 credits (20,482,069)TRP LLR Sapphire: Earned 20,000,000 credits (20,307,419)Woodall LLR Emerald: Earned 50,000,000 credits (51,058,101)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,380,527)Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (744,531)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,007,004)PPS Sieve Double Gold: Earned 500,000,000 credits (620,129,378)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,181)AP 26/27 Emerald: Earned 50,000,000 credits (50,339,393)GFN Double Gold: Earned 500,000,000 credits (584,179,751)WW Double Ruby: Earned 2,000,000,000 credits (2,589,204,000)
Message 151376 - Posted: 4 Sep 2021 | 11:16:13 UTC - in response to Message 151375.

Exciting.

I think we need to factor at least 33%, so a composite cofactor can have at most ~163 digits (given that the full b is 245 digits). If the current cofactor is 225 digits, we need to shave off about 62 digits.

I guess someone somewhere would know of a way to attack the factorization of a single number with a distributed approach (maybe even BOINC). There have been famous numbers, including those from the RSA challenge, which people have wanted to factor.

/JeppeSN

Isn't this why RSA cryptography works?
Only with sheer brute force you can factorise?

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151377 - Posted: 4 Sep 2021 | 11:44:20 UTC - in response to Message 151376.


Isn't this why RSA cryptography works?
Only with sheer brute force you can factorise?

Yes, RSA is secure because the semiprimes (public keys) are so huge that nobody knows how to factor them.

For the 225-digit number we ran into here, we do not know if it is a semiprime (has exactly two prime factors) or not. And if it is a semiprime, we do not know if one factor is much much smaller than the other. Therefore, we do not know how hard it will be to break down. For RSA, I guess, once you know how large the key is, you know more or less how hard it will be to factor (assuming you know what factorization tools you possess).

/JeppeSN

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Discovered 9 mega primesFound 5 primes in the 2020 Tour de PrimesFound 2 mega primes in the 2020 Tour de PrimesFound 4 primes in the 2021 Tour de PrimesFound 2 mega primes in the 2021 Tour de PrimesFound 3 primes in the 2022 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (23,436,311)Cullen LLR Emerald: Earned 50,000,000 credits (50,743,293)ESP LLR Sapphire: Earned 20,000,000 credits (39,213,745)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (50,473,530)PPS LLR Emerald: Earned 50,000,000 credits (75,402,242)PSP LLR Emerald: Earned 50,000,000 credits (51,069,305)SoB LLR Emerald: Earned 50,000,000 credits (51,885,310)SR5 LLR Sapphire: Earned 20,000,000 credits (20,183,763)SGS LLR Sapphire: Earned 20,000,000 credits (20,482,069)TRP LLR Sapphire: Earned 20,000,000 credits (20,307,419)Woodall LLR Emerald: Earned 50,000,000 credits (51,058,101)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,380,527)Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (744,531)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,007,004)PPS Sieve Double Gold: Earned 500,000,000 credits (620,129,378)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,181)AP 26/27 Emerald: Earned 50,000,000 credits (50,339,393)GFN Double Gold: Earned 500,000,000 credits (584,179,751)WW Double Ruby: Earned 2,000,000,000 credits (2,589,204,000)
Message 151379 - Posted: 4 Sep 2021 | 12:13:23 UTC - in response to Message 151377.

And if it is a semiprime, we do not know if one factor is much much smaller than the other. Therefore, we do not know how hard it will be to break down.

/JeppeSN

It must make a difference that semiprimes be nearly the same size for better cryptography purposes?
(Thankyou for your defn of semiprimes - only 2 primes - do the primes need to be only used once? I mean as an example 2 x 3 vs 2 x 2 x 3)

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151380 - Posted: 4 Sep 2021 | 12:52:20 UTC - in response to Message 151379.

(Thankyou for your defn of semiprimes - only 2 primes - do the primes need to be only used once? I mean as an example 2 x 3 vs 2 x 2 x 3)

The definition says two primes when counted with multiplicity. So 2脳3 and 2脳2 and 3脳3 would all be semiprimes, but 2脳2脳3 and 2脳3脳3 are not since for this purpose they have three prime factors (2, 2, 3; respectively 2, 3, 3).

The semiprimes used in RSA must have distinct prime factors. The two primes should not be extremely close to each other (then people could guess them, starting from the square root of the semiprime).

/JeppeSN

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Discovered 9 mega primesFound 5 primes in the 2020 Tour de PrimesFound 2 mega primes in the 2020 Tour de PrimesFound 4 primes in the 2021 Tour de PrimesFound 2 mega primes in the 2021 Tour de PrimesFound 3 primes in the 2022 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (23,436,311)Cullen LLR Emerald: Earned 50,000,000 credits (50,743,293)ESP LLR Sapphire: Earned 20,000,000 credits (39,213,745)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (50,473,530)PPS LLR Emerald: Earned 50,000,000 credits (75,402,242)PSP LLR Emerald: Earned 50,000,000 credits (51,069,305)SoB LLR Emerald: Earned 50,000,000 credits (51,885,310)SR5 LLR Sapphire: Earned 20,000,000 credits (20,183,763)SGS LLR Sapphire: Earned 20,000,000 credits (20,482,069)TRP LLR Sapphire: Earned 20,000,000 credits (20,307,419)Woodall LLR Emerald: Earned 50,000,000 credits (51,058,101)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,380,527)Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (744,531)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,007,004)PPS Sieve Double Gold: Earned 500,000,000 credits (620,129,378)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,181)AP 26/27 Emerald: Earned 50,000,000 credits (50,339,393)GFN Double Gold: Earned 500,000,000 credits (584,179,751)WW Double Ruby: Earned 2,000,000,000 credits (2,589,204,000)
Message 151384 - Posted: 4 Sep 2021 | 15:06:05 UTC - in response to Message 151380.

(Thankyou for your defn of semiprimes - only 2 primes - do the primes need to be only used once? I mean as an example 2 x 3 vs 2 x 2 x 3)

The definition says two primes when counted with multiplicity. So 2脳3 and 2脳2 and 3脳3 would all be semiprimes, but 2脳2脳3 and 2脳3脳3 are not since for this purpose they have three prime factors (2, 2, 3; respectively 2, 3, 3).

The semiprimes used in RSA must have distinct prime factors. The two primes should not be extremely close to each other (then people could guess them, starting from the square root of the semiprime).

/JeppeSN

Yes I think I may understand why you wouldn't choose 2 primes close together for RSA.
I need more confirmation as what a semi-prime is.
Right now, I think it would be only 2 primes multiplied together and they can be the same prime? Sorry this probably is dogged stupidity.

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Discovered 3 mega primesFound 2 primes in the 2018 Tour de PrimesFound 4 primes in the 2019 Tour de PrimesFound 3 primes in the 2020 Tour de PrimesFound 1 mega prime in the 2020 Tour de PrimesFound 4 primes in the 2021 Tour de PrimesFound 7 primes in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (27,589,187)Cullen LLR Sapphire: Earned 20,000,000 credits (20,754,874)ESP LLR Sapphire: Earned 20,000,000 credits (20,453,074)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (44,596,331)PPS LLR Emerald: Earned 50,000,000 credits (61,756,838)PSP LLR Sapphire: Earned 20,000,000 credits (20,571,669)SoB LLR Emerald: Earned 50,000,000 credits (50,873,282)SR5 LLR Sapphire: Earned 20,000,000 credits (21,257,664)SGS LLR Sapphire: Earned 20,000,000 credits (21,819,843)TRP LLR Sapphire: Earned 20,000,000 credits (20,191,201)Woodall LLR Sapphire: Earned 20,000,000 credits (20,376,385)321 Sieve (suspended) Emerald: Earned 50,000,000 credits (55,630,889)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,178,073)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (56,046,594)PPS Sieve Double Gold: Earned 500,000,000 credits (521,014,891)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (9,468,384)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,076,645)AP 26/27 Double Gold: Earned 500,000,000 credits (502,006,216)GFN Double Silver: Earned 200,000,000 credits (275,163,001)WW Double Silver: Earned 200,000,000 credits (418,476,000)PSA Double Bronze: Earned 100,000,000 credits (126,200,096)
Message 151387 - Posted: 4 Sep 2021 | 17:32:08 UTC - in response to Message 151384.

(Thankyou for your defn of semiprimes - only 2 primes - do the primes need to be only used once? I mean as an example 2 x 3 vs 2 x 2 x 3)

The definition says two primes when counted with multiplicity. So 2脳3 and 2脳2 and 3脳3 would all be semiprimes, but 2脳2脳3 and 2脳3脳3 are not since for this purpose they have three prime factors (2, 2, 3; respectively 2, 3, 3).

The semiprimes used in RSA must have distinct prime factors. The two primes should not be extremely close to each other (then people could guess them, starting from the square root of the semiprime).

/JeppeSN

Yes I think I may understand why you wouldn't choose 2 primes close together for RSA.
I need more confirmation as what a semi-prime is.
Right now, I think it would be only 2 primes multiplied together and they can be the same prime? Sorry this probably is dogged stupidity.


You are correct. Take any two prime numbers, multiply them, and poof! Semiprime.
____________
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Discovered 3 mega primesFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain StageFound 4 primes in the 2019 Tour de PrimesFound 2 primes in the 2019 Tour de Primes Mountain Stage2020 Tour de Primes most Mountain Stage primesFound 3 primes in the 2020 Tour de PrimesFound 2 primes in the 2020 Tour de Primes Mountain StageFound 1 prime in the 2021 Tour de PrimesFound 1 mega prime in the 2021 Tour de Primes2022 Tour de Primes most Mountain Stage primesFound 5 primes in the 2022 Tour de PrimesFound 4 primes in the 2022 Tour de Primes Mountain Stage321 LLR Turquoise: Earned 5,000,000 credits (5,715,099)Cullen LLR Ruby: Earned 2,000,000 credits (2,542,805)ESP LLR Jade: Earned 10,000,000 credits (12,054,435)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,004,849)PPS LLR Emerald: Earned 50,000,000 credits (79,781,015)PSP LLR Sapphire: Earned 20,000,000 credits (23,433,409)SoB LLR Jade: Earned 10,000,000 credits (18,172,051)SR5 LLR Sapphire: Earned 20,000,000 credits (31,554,813)SGS LLR Jade: Earned 10,000,000 credits (15,930,397)TRP LLR Jade: Earned 10,000,000 credits (10,238,249)Woodall LLR Ruby: Earned 2,000,000 credits (2,369,390)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,421,223)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,165,870)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,012,635)PPS Sieve Double Gold: Earned 500,000,000 credits (544,047,142)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (727,064)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,187,678)AP 26/27 Double Bronze: Earned 100,000,000 credits (102,663,899)GFN Double Silver: Earned 200,000,000 credits (369,528,385)WW Double Silver: Earned 200,000,000 credits (275,312,000)PSA Emerald: Earned 50,000,000 credits (52,983,083)
Message 151394 - Posted: 5 Sep 2021 | 14:40:28 UTC

I have several GFN-12 MEGA Prime task results that won't upload. A batch from 20 August has been stuck for almost a week. I tried crunching a new batch yesterday to "flush them through," but now those results are stuck too:

15756 PRIVATE GFN SERVER 9/5/2021 4:32:06 PM Started upload of llr2_1717963_qyn8br_765778086_r1399372121_7 15757 PRIVATE GFN SERVER 9/5/2021 4:32:06 PM Started upload of llr2_1717963_qyn8br_765778086_r1399372121_8 15758 PRIVATE GFN SERVER 9/5/2021 4:32:07 PM Project communication failed: attempting access to reference site 15759 PRIVATE GFN SERVER 9/5/2021 4:32:07 PM Temporarily failed upload of llr2_1717963_qyn8br_765778086_r1399372121_7: transient HTTP error 15760 PRIVATE GFN SERVER 9/5/2021 4:32:07 PM Backing off 05:00:33 on upload of llr2_1717963_qyn8br_765778086_r1399372121_7


Any clue as to why I can connect to download WUs, but not connect to upload results?
____________

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"We must know, we shall know."
- David Hilbert, 1930

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151400 - Posted: 5 Sep 2021 | 21:26:12 UTC - in response to Message 151394.
Last modified: 5 Sep 2021 | 21:27:19 UTC

I have several GFN-12 MEGA Prime task results that won't upload. A batch from 20 August has been stuck for almost a week. I tried crunching a new batch yesterday to "flush them through," but now those results are stuck too:

15756 PRIVATE GFN SERVER 9/5/2021 4:32:06 PM Started upload of llr2_1717963_qyn8br_765778086_r1399372121_7 15757 PRIVATE GFN SERVER 9/5/2021 4:32:06 PM Started upload of llr2_1717963_qyn8br_765778086_r1399372121_8 15758 PRIVATE GFN SERVER 9/5/2021 4:32:07 PM Project communication failed: attempting access to reference site 15759 PRIVATE GFN SERVER 9/5/2021 4:32:07 PM Temporarily failed upload of llr2_1717963_qyn8br_765778086_r1399372121_7: transient HTTP error 15760 PRIVATE GFN SERVER 9/5/2021 4:32:07 PM Backing off 05:00:33 on upload of llr2_1717963_qyn8br_765778086_r1399372121_7



[Sun Sep 05 08:08:57.054231 2021] [fcgid:warn] [pid 29890:tid 139938397898496] (104)Connection reset by peer: [client 79.140.###.###:18873] mod_fcgid: can't get data from http client


It seems to be a problem in Internet link between you and me only - there are only about 10 similar error messages in Apache logs per 24 hours. There were few talks about similar problems in previous threads (starting from GFN16-MEGA search). Their reasons were very complicated errors in ISP equipment configuration or even glitches in interconnections between different countries. Unless something was changed in your home or office router recently, not much can be done on user side. A common confirmed reason was too small MTU somewhere on the path between client and my server, and blocking of ICMP packets (they're required for automatic MTU selection, but some ISP/routers/antivirus could block them for absurd "security").

After that discussion, I reduced MSS (maximum TCP packet size on my server) to 1400 to let data pass through shortened MTU, it fixed all problems at that time. Now I reduced MSS to 1300, lets see if it fixes the problem. If yes, something in really broken on the way.

Any clue as to why I can connect to download WUs, but not connect to upload results?


These types of configuration errors are often missed by ISP / office sysadmins because most users are only downloading pages. During web browsing, they're rarely sending something large then a kilobyte. The problem exposes when user is uploading more then 1.5 Kbytes of data in one piece. Such packet will never reach the server, and server gives up with timeout or other error.

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Discovered 3 mega primesFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain StageFound 4 primes in the 2019 Tour de PrimesFound 2 primes in the 2019 Tour de Primes Mountain Stage2020 Tour de Primes most Mountain Stage primesFound 3 primes in the 2020 Tour de PrimesFound 2 primes in the 2020 Tour de Primes Mountain StageFound 1 prime in the 2021 Tour de PrimesFound 1 mega prime in the 2021 Tour de Primes2022 Tour de Primes most Mountain Stage primesFound 5 primes in the 2022 Tour de PrimesFound 4 primes in the 2022 Tour de Primes Mountain Stage321 LLR Turquoise: Earned 5,000,000 credits (5,715,099)Cullen LLR Ruby: Earned 2,000,000 credits (2,542,805)ESP LLR Jade: Earned 10,000,000 credits (12,054,435)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,004,849)PPS LLR Emerald: Earned 50,000,000 credits (79,781,015)PSP LLR Sapphire: Earned 20,000,000 credits (23,433,409)SoB LLR Jade: Earned 10,000,000 credits (18,172,051)SR5 LLR Sapphire: Earned 20,000,000 credits (31,554,813)SGS LLR Jade: Earned 10,000,000 credits (15,930,397)TRP LLR Jade: Earned 10,000,000 credits (10,238,249)Woodall LLR Ruby: Earned 2,000,000 credits (2,369,390)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,421,223)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,165,870)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,012,635)PPS Sieve Double Gold: Earned 500,000,000 credits (544,047,142)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (727,064)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,187,678)AP 26/27 Double Bronze: Earned 100,000,000 credits (102,663,899)GFN Double Silver: Earned 200,000,000 credits (369,528,385)WW Double Silver: Earned 200,000,000 credits (275,312,000)PSA Emerald: Earned 50,000,000 credits (52,983,083)
Message 151408 - Posted: 6 Sep 2021 | 11:48:23 UTC - in response to Message 151400.

I have several GFN-12 MEGA Prime task results that won't upload. A batch from 20 August has been stuck for almost a week. I tried crunching a new batch yesterday to "flush them through," but now those results are stuck too:

15756 PRIVATE GFN SERVER 9/5/2021 4:32:06 PM Started upload of llr2_1717963_qyn8br_765778086_r1399372121_7 15757 PRIVATE GFN SERVER 9/5/2021 4:32:06 PM Started upload of llr2_1717963_qyn8br_765778086_r1399372121_8 15758 PRIVATE GFN SERVER 9/5/2021 4:32:07 PM Project communication failed: attempting access to reference site 15759 PRIVATE GFN SERVER 9/5/2021 4:32:07 PM Temporarily failed upload of llr2_1717963_qyn8br_765778086_r1399372121_7: transient HTTP error 15760 PRIVATE GFN SERVER 9/5/2021 4:32:07 PM Backing off 05:00:33 on upload of llr2_1717963_qyn8br_765778086_r1399372121_7



[Sun Sep 05 08:08:57.054231 2021] [fcgid:warn] [pid 29890:tid 139938397898496] (104)Connection reset by peer: [client 79.140.###.###:18873] mod_fcgid: can't get data from http client


It seems to be a problem in Internet link between you and me only - there are only about 10 similar error messages in Apache logs per 24 hours. There were few talks about similar problems in previous threads (starting from GFN16-MEGA search). Their reasons were very complicated errors in ISP equipment configuration or even glitches in interconnections between different countries. Unless something was changed in your home or office router recently, not much can be done on user side. A common confirmed reason was too small MTU somewhere on the path between client and my server, and blocking of ICMP packets (they're required for automatic MTU selection, but some ISP/routers/antivirus could block them for absurd "security").

After that discussion, I reduced MSS (maximum TCP packet size on my server) to 1400 to let data pass through shortened MTU, it fixed all problems at that time. Now I reduced MSS to 1300, lets see if it fixes the problem. If yes, something in really broken on the way.

Any clue as to why I can connect to download WUs, but not connect to upload results?


These types of configuration errors are often missed by ISP / office sysadmins because most users are only downloading pages. During web browsing, they're rarely sending something large then a kilobyte. The problem exposes when user is uploading more then 1.5 Kbytes of data in one piece. Such packet will never reach the server, and server gives up with timeout or other error.


I am sorry, it turns out I was the problem.

I manage this host through BoincTasks, but I decided to remote into the actual host so that I could try rebooting it. There I saw that Symantec Network Threat Protection was actually blocking the traffic every time BOINC tried to upload the results to the server...

I disabled Symantec, and the WUs all uploaded OK.

____________

Proud member of Team Aggie the Pew

"Wir m眉ssen wissen. Wir werden wissen."
"We must know, we shall know."
- David Hilbert, 1930

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151457 - Posted: 10 Sep 2021 | 20:59:10 UTC

Fourth prime found by Dr Who Fan! Congratulations! Incredible luck, considering that he did only 93 tasks at the moment I'm writing this post.

The base resisted quick factorization, but I'll do more ECM testing at least for a week.

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321 LLR Silver: Earned 100,000 credits (186,168)Cullen LLR Silver: Earned 100,000 credits (161,492)ESP LLR Silver: Earned 100,000 credits (128,326)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (115,730)PPS LLR Amethyst: Earned 1,000,000 credits (1,804,752)PSP LLR Silver: Earned 100,000 credits (132,546)SoB LLR Silver: Earned 100,000 credits (433,700)SR5 LLR Silver: Earned 100,000 credits (118,844)SGS LLR Silver: Earned 100,000 credits (167,333)TRP LLR Silver: Earned 100,000 credits (100,020)Woodall LLR Silver: Earned 100,000 credits (103,446)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,006,012)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,740,001)PPS Sieve Turquoise: Earned 5,000,000 credits (5,282,493)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Silver: Earned 100,000 credits (119,708)TRP Sieve (suspended) Gold: Earned 500,000 credits (527,925)AP 26/27 Amethyst: Earned 1,000,000 credits (1,051,262)GFN Ruby: Earned 2,000,000 credits (2,461,258)WW Turquoise: Earned 5,000,000 credits (5,100,000)
Message 151460 - Posted: 11 Sep 2021 | 1:43:34 UTC - in response to Message 151457.

Fourth prime found by Dr Who Fan! Congratulations! Incredible luck, considering that he did only 93 tasks at the moment I'm writing this post.

The base resisted quick factorization, but I'll do more ECM testing at least for a week.

Thanks! Must be my lucky day today :)
____________

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151461 - Posted: 11 Sep 2021 | 6:02:23 UTC - in response to Message 151457.

Nice. Not sure what I like more: bases that can be factored, or bases that cannot be factored. /JeppeSN

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321 LLR Ruby: Earned 2,000,000 credits (2,092,823)Cullen LLR Ruby: Earned 2,000,000 credits (2,315,295)ESP LLR Ruby: Earned 2,000,000 credits (2,151,088)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,620,968)PPS LLR Jade: Earned 10,000,000 credits (10,062,851)PSP LLR Ruby: Earned 2,000,000 credits (2,064,832)SoB LLR Ruby: Earned 2,000,000 credits (2,434,466)SR5 LLR Ruby: Earned 2,000,000 credits (2,065,004)SGS LLR Ruby: Earned 2,000,000 credits (2,027,649)TRP LLR Ruby: Earned 2,000,000 credits (2,089,856)Woodall LLR Ruby: Earned 2,000,000 credits (2,112,258)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,107,153)PPS Sieve Turquoise: Earned 5,000,000 credits (5,096,952)AP 26/27 Turquoise: Earned 5,000,000 credits (5,797,662)GFN Jade: Earned 10,000,000 credits (10,874,159)WW Double Silver: Earned 200,000,000 credits (349,980,000)PSA Amethyst: Earned 1,000,000 credits (1,042,601)
Message 151468 - Posted: 12 Sep 2021 | 6:21:13 UTC - in response to Message 151373.
Last modified: 12 Sep 2021 | 6:27:31 UTC

I'm also running it in background using YAFU ECM, it's slow because YAFU is running ECM single-threaded, and I didn't understand is it possible to make it multithreaded or not. Anyway, YAFU (if I understood its output correctly) should reach optimal point for 50-digits factor within next week.
The -threads n argument does that, where n is number of threads. You can also add that in yafu.ini.

I tried to learn NFS, and have cado-nfs server up and running. Everything is on default settings, using 230-digits profile supplied with cado. Look like I can build a polynomial in reasonable time even with my office computers, but have no idea yet how long sieving phase will take.
It's impossible on a single computer. My i9-10900 10 cores takes about 14 days for sieving for a 167 digits number. And sieving time doubles approximately every 5 digits. RSA-250 was only recently factored by a team with access to university level computing power.

230 digits is really a lot for amateurs, even with distributed NFS as NFS@home offers. I don't know if they ever did something that big. The problem is also in the linear algebra part which cannot efficiently be distributed and requires a lot of memory. It alone might take weeks even on specialized equipment.

You could post the problem at the mersenneforum Factoring subforum, there are a lot of knowledgable users there with the ressources to help factoring it. I am pretty sure they's be excited to help with these numbers. You will need someone who is able to set the right parameters for that search as well.
____________
1281979 * 2^485014 + 1 is prime ... no further hits up to: n = 5,700,000

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151490 - Posted: 12 Sep 2021 | 15:41:35 UTC - in response to Message 151468.

230 digits is really a lot for amateurs,

In the worst case where the second-largest prime factor is huge (can be up to 115 digits), it is hard! But of course the bases b we run into here, might be quite easy; we do not know in advance (unlike the situation where you try to break an RSA key). /JeppeSN

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321 LLR Ruby: Earned 2,000,000 credits (2,092,823)Cullen LLR Ruby: Earned 2,000,000 credits (2,315,295)ESP LLR Ruby: Earned 2,000,000 credits (2,151,088)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,620,968)PPS LLR Jade: Earned 10,000,000 credits (10,062,851)PSP LLR Ruby: Earned 2,000,000 credits (2,064,832)SoB LLR Ruby: Earned 2,000,000 credits (2,434,466)SR5 LLR Ruby: Earned 2,000,000 credits (2,065,004)SGS LLR Ruby: Earned 2,000,000 credits (2,027,649)TRP LLR Ruby: Earned 2,000,000 credits (2,089,856)Woodall LLR Ruby: Earned 2,000,000 credits (2,112,258)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,107,153)PPS Sieve Turquoise: Earned 5,000,000 credits (5,096,952)AP 26/27 Turquoise: Earned 5,000,000 credits (5,797,662)GFN Jade: Earned 10,000,000 credits (10,874,159)WW Double Silver: Earned 200,000,000 credits (349,980,000)PSA Amethyst: Earned 1,000,000 credits (1,042,601)
Message 151501 - Posted: 13 Sep 2021 | 9:08:56 UTC - in response to Message 151490.

Yes, I meant when ECM was finished without success and NFS is required. You can't do that on your own. There is btw also a distributed project for ECM (yoyo@home).

I'd really go ahead and post those numbers at mersenneforum, they'd surely like to give that a try. Though I'm not sure if some of those numbers are too large anyway.


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1281979 * 2^485014 + 1 is prime ... no further hits up to: n = 5,700,000

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151506 - Posted: 13 Sep 2021 | 14:06:34 UTC - in response to Message 151501.

Yes, I meant when ECM was finished without success and NFS is required. You can't do that on your own. There is btw also a distributed project for ECM (yoyo@home).

Yes I see. I read a bit about how difficult RSA-768 factoring was (in particular, an incredible amount of memory required on server for linear algebra part). Our numbers are less then 768 bits but not much, one is C225 and second is C233.

I'd really go ahead and post those numbers at mersenneforum, they'd surely like to give that a try. Though I'm not sure if some of those numbers are too large anyway.

Me and Pavel will try to push ECM up to "optimal point" for 55 digits - either testing 21000 GMP-ECM curves at B1=110M (numbers chosen according to GMP-ECM predictions), either using Pavel's software up to similar testing depth. If nothing will be found, primes will be published and the problem will be open for everybody. First candidate (C225) is already tested up to 50 digits "optimal point" with YAFU, where it gave up and suggested to switch to NFS.
09/11/21 21:22:07 v1.34.5 @ ubuntu18, Finished 7553 curves using Lenstra ECM method on C225 input, B1=43M, B2=gmp-ecm default 09/11/21 21:22:07 v1.34.5 @ ubuntu18, final ECM pretested depth: 50.86

Second candidate (C233) received only minor YAFU ECM (up to 45 digits). I'm playing with Pavel's software on it.

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151509 - Posted: 13 Sep 2021 | 16:41:52 UTC - in response to Message 151506.
Last modified: 13 Sep 2021 | 16:43:32 UTC

Yes, I meant when ECM was finished without success and NFS is required. You can't do that on your own. There is btw also a distributed project for ECM (yoyo@home).

Yes I see. I read a bit about how difficult RSA-768 factoring was (in particular, an incredible amount of memory required on server for linear algebra part). Our numbers are less then 768 bits but not much, one is C225 and second is C233.

I'd really go ahead and post those numbers at mersenneforum, they'd surely like to give that a try. Though I'm not sure if some of those numbers are too large anyway.

Me and Pavel will try to push ECM up to "optimal point" for 55 digits - either testing 21000 GMP-ECM curves at B1=110M (numbers chosen according to GMP-ECM predictions), either using Pavel's software up to similar testing depth. If nothing will be found, primes will be published and the problem will be open for everybody. First candidate (C225) is already tested up to 50 digits "optimal point" with YAFU, where it gave up and suggested to switch to NFS.

Sorry if I am repeating myself, but there is a difference between RSA factoring and factoring of our number, because with RSA one knows in advance that the number consist of exactly two very large primes, whereas with our numbers one knows less.

Can anyone say if that makes a difference for the strategy you would use? Clearly, for an RSA number with 232 digits, you are not really searching for a 45-digit or 50-digits factor.

Also, we do not necessarily need a full factorization of our C225. If it happened to be C225 = P65*P75*P85, say, then it would be sufficient, for our purpose, to find the small factor, i.e. be able to write C225 = P65*C160, and we would have factored over 33% of the original 245-digit b.

However, a 50-digit or 55-digit factor (the ECM limits you mentioned) alone would not suffice, in case the cofactor is still composite :-(

/JeppeSN

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151516 - Posted: 14 Sep 2021 | 7:27:01 UTC - in response to Message 151509.

Sorry if I am repeating myself, but there is a difference between RSA factoring and factoring of our number, because with RSA one knows in advance that the number consist of exactly two very large primes, whereas with our numbers one knows less.

Can anyone say if that makes a difference for the strategy you would use?

I think there is no difference for NFS. It's "all or nothing" method - it'll reveal all factors at once in given time. But resourced required for numbers of our size are too high.

Also, we do not necessarily need a full factorization of our C225. If it happened to be C225 = P65*P75*P85, say, then it would be sufficient, for our purpose, to find the small factor, i.e. be able to write C225 = P65*C160, and we would have factored over 33% of the original 245-digit b.

Correct, but we must be very very lucky to find a P65 with current ECM settings and required computing power also grows exponentially when you're adjusting ECM setting for higher expected number of digits.

However, a 50-digit or 55-digit factor (the ECM limits you mentioned) alone would not suffice, in case the cofactor is still composite :-(

Really, this IS a current strategy - if a factor between 50-55 digits will be found, remaining C170 is a manageable target for NFS.

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ID: 373199
Credit: 2,518,518,109
RAC: 3,217,318
321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Jade: Earned 10,000,000 credits (10,019,714)SoB LLR Turquoise: Earned 5,000,000 credits (8,430,937)SR5 LLR Silver: Earned 100,000 credits (100,048)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Turquoise: Earned 5,000,000 credits (5,492,312)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,171,955,526)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)WW Double Bronze: Earned 100,000,000 credits (100,000,000)PSA Ruby: Earned 2,000,000 credits (4,643,008)
Message 151588 - Posted: 21 Sep 2021 | 11:20:08 UTC

The server has been unreachable for a couple of hours, any idea when it will be back please ?

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ID: 3556
Credit: 22,755,409
RAC: 52,729
321 LLR Silver: Earned 100,000 credits (186,168)Cullen LLR Silver: Earned 100,000 credits (161,492)ESP LLR Silver: Earned 100,000 credits (128,326)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (115,730)PPS LLR Amethyst: Earned 1,000,000 credits (1,804,752)PSP LLR Silver: Earned 100,000 credits (132,546)SoB LLR Silver: Earned 100,000 credits (433,700)SR5 LLR Silver: Earned 100,000 credits (118,844)SGS LLR Silver: Earned 100,000 credits (167,333)TRP LLR Silver: Earned 100,000 credits (100,020)Woodall LLR Silver: Earned 100,000 credits (103,446)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,006,012)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,740,001)PPS Sieve Turquoise: Earned 5,000,000 credits (5,282,493)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Silver: Earned 100,000 credits (119,708)TRP Sieve (suspended) Gold: Earned 500,000 credits (527,925)AP 26/27 Amethyst: Earned 1,000,000 credits (1,051,262)GFN Ruby: Earned 2,000,000 credits (2,461,258)WW Turquoise: Earned 5,000,000 credits (5,100,000)
Message 151589 - Posted: 21 Sep 2021 | 12:25:13 UTC - in response to Message 151588.

Project web site is reachable but just about everything on server status page is RED.
Server status
Task data as of 21 Sep 2021, 12:08:52 UTC

Program Host Status
Download server boincvm.proxyma.ru Running
Upload server boincvm.proxyma.ru Running

Scheduler boinc-server Not Running
feeder boinc-server Not Running
transitioner boinc-server Not Running
file_deleter boinc-server Not Running
genefer_validator (gfn1x_small) boinc-server Not Running
genefer_validator (llr2) boinc-server Not Running
genefer_validator (gfn12_mega) boinc-server Not Running
genefer_assimilator_12 (gfn1x_small) boinc-server Not Running
genefer_assimilator (gfn12_mega) boinc-server Not Running
genefer_assimilator (llr2) boinc-server Not Running
db_purge (gfn1x_small) boinc-server Not Running
db_purge (llr2) boinc-server Not Running
db_purge (gfn12_mega) boinc-server Not Running
run_in_ops_exec ./trickle_handler.php boinc-server Not Running
llr2_cluster_server boinc-server Not Running

____________

stream
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151592 - Posted: 21 Sep 2021 | 14:16:44 UTC - in response to Message 151589.

The server has been unreachable for a couple of hours, any idea when it will be back please ?

No power in the building for few hours (planned maintenance of city electricity network)

Project web site is reachable but just about everything on server status page is RED.

Boinc was "turned off" before shutdown, it was some delay before I turned it back on (it must be done manually).

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Joined: 26 Sep 06
Posts: 162
ID: 3556
Credit: 22,755,409
RAC: 52,729
321 LLR Silver: Earned 100,000 credits (186,168)Cullen LLR Silver: Earned 100,000 credits (161,492)ESP LLR Silver: Earned 100,000 credits (128,326)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (115,730)PPS LLR Amethyst: Earned 1,000,000 credits (1,804,752)PSP LLR Silver: Earned 100,000 credits (132,546)SoB LLR Silver: Earned 100,000 credits (433,700)SR5 LLR Silver: Earned 100,000 credits (118,844)SGS LLR Silver: Earned 100,000 credits (167,333)TRP LLR Silver: Earned 100,000 credits (100,020)Woodall LLR Silver: Earned 100,000 credits (103,446)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,006,012)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,740,001)PPS Sieve Turquoise: Earned 5,000,000 credits (5,282,493)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Silver: Earned 100,000 credits (119,708)TRP Sieve (suspended) Gold: Earned 500,000 credits (527,925)AP 26/27 Amethyst: Earned 1,000,000 credits (1,051,262)GFN Ruby: Earned 2,000,000 credits (2,461,258)WW Turquoise: Earned 5,000,000 credits (5,100,000)
Message 151593 - Posted: 21 Sep 2021 | 15:46:26 UTC - in response to Message 151592.

stream, Thank for the update. All appears to be alive & well again.

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ID: 373199
Credit: 2,518,518,109
RAC: 3,217,318
321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Jade: Earned 10,000,000 credits (10,019,714)SoB LLR Turquoise: Earned 5,000,000 credits (8,430,937)SR5 LLR Silver: Earned 100,000 credits (100,048)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Turquoise: Earned 5,000,000 credits (5,492,312)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,171,955,526)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)WW Double Bronze: Earned 100,000,000 credits (100,000,000)PSA Ruby: Earned 2,000,000 credits (4,643,008)
Message 151620 - Posted: 24 Sep 2021 | 18:30:47 UTC - in response to Message 151506.

Me and Pavel will try to push ECM up to "optimal point" for 55 digits - either testing 21000 GMP-ECM curves at B1=110M (numbers chosen according to GMP-ECM predictions), either using Pavel's software up to similar testing depth. If nothing will be found, primes will be published and the problem will be open for everybody. First candidate (C225) is already tested up to 50 digits "optimal point" with YAFU, where it gave up and suggested to switch to NFS.

Second candidate (C233) received only minor YAFU ECM (up to 45 digits). I'm playing with Pavel's software on it.

Still not there yet ?

stream
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Joined: 1 Mar 14
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151622 - Posted: 25 Sep 2021 | 7:08:40 UTC - in response to Message 151620.

Me and Pavel will try to push ECM up to "optimal point" for 55 digits - either testing 21000 GMP-ECM curves at B1=110M (numbers chosen according to GMP-ECM predictions), either using Pavel's software up to similar testing depth. If nothing will be found, primes will be published and the problem will be open for everybody. First candidate (C225) is already tested up to 50 digits "optimal point" with YAFU, where it gave up and suggested to switch to NFS.

Second candidate (C233) received only minor YAFU ECM (up to 45 digits). I'm playing with Pavel's software on it.

Still not there yet ?

No luck with second number yet. It was ECM-tested up to 50 digits but nothing was found. So same policy (as with first number) will be applied - it'll be tested up to 55 digits with GMP-ECM (21000 curves at B1=110M), then both prime and cofactor will be opened for public. Unfortunately, these two primes cannot be submitted to T5K because technically, they're not proven as primes (only as PRP).

I'm running this slowly in background on one 4-cores box, so ECM of each number will require about 20 days. First number is more then half-way done.

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ID: 373199
Credit: 2,518,518,109
RAC: 3,217,318
321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Jade: Earned 10,000,000 credits (10,019,714)SoB LLR Turquoise: Earned 5,000,000 credits (8,430,937)SR5 LLR Silver: Earned 100,000 credits (100,048)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Turquoise: Earned 5,000,000 credits (5,492,312)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,171,955,526)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)WW Double Bronze: Earned 100,000,000 credits (100,000,000)PSA Ruby: Earned 2,000,000 credits (4,643,008)
Message 151623 - Posted: 25 Sep 2021 | 8:11:49 UTC - in response to Message 151622.

Okay, thanks for the update and explanation.
I'll go and change my settings to get easier ones.

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151625 - Posted: 25 Sep 2021 | 10:05:25 UTC - in response to Message 151020.

If we are unlucky and hit a base with two prime factors over 100 decimal digits, then it will be extremely hard to factor. I think it was lucky that second-largest prime factor had no more than 29 digits. /JeppeSN

The probabilities can be computed with the Dickman function.
For the largest prime factor we have alpha = log(1617...0401)/log(b) ~ 0.861. The probability that alpha >= 0.861 is about 15%.
For the second largest prime factor we have alpha = log(39002209166721466412601474313)/log(b) ~ 0.136. The probability that alpha <= 0.136 is about 28.4%.


OK, status by now:

First GFN-12 mega and second GFN-12 mega were both very easy to prove.

Third GFN-12 mega and fourth GFN-12 mega are both hard to prove because by chance their b are hard to factor sufficiently deeply.

Will the fifth GFN-12 mega be found before the subproject ends?

/JeppeSN

stream
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Joined: 1 Mar 14
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Credit: 543,185,506
RAC: 36,711
Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151637 - Posted: 26 Sep 2021 | 15:20:15 UTC

Another maintenance of power lines scheduled tomorrow, September 27. The server will be offline for few hours.
Power company don't giving us exact timing details, all works will be "during a work day" - from 05:30 UTC to 15:00 UTC, but usually power is cut for much shorter internal.

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Joined: 14 Nov 14
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ID: 373199
Credit: 2,518,518,109
RAC: 3,217,318
321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Jade: Earned 10,000,000 credits (10,019,714)SoB LLR Turquoise: Earned 5,000,000 credits (8,430,937)SR5 LLR Silver: Earned 100,000 credits (100,048)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Turquoise: Earned 5,000,000 credits (5,492,312)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,171,955,526)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)WW Double Bronze: Earned 100,000,000 credits (100,000,000)PSA Ruby: Earned 2,000,000 credits (4,643,008)
Message 151639 - Posted: 26 Sep 2021 | 15:58:07 UTC - in response to Message 151637.

Another maintenance of power lines scheduled tomorrow, September 27. The server will be offline for few hours.
Power company don't giving us exact timing details, all works will be "during a work day" - from 05:30 UTC to 15:00 UTC, but usually power is cut for much shorter internal.

Thanks, I'll go back to stocking up.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151644 - Posted: 27 Sep 2021 | 14:01:19 UTC

The maintenance will be continued tomorrow, September 28. Look like electric company worked on another cable today (there are two big cables which need mainteance) - the power in the offices was stable, but ISP equipment on the roof of our building was offline for few hours. So expecting some disruptions tomorrow.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151689 - Posted: 4 Oct 2021 | 12:34:08 UTC

ECM testing of first unproven prime is finished. No factors up to 55 digits were found. The prime is now open. First post updated, unfactorized part published (factoring this number is a separate open public problem now).

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Discovered 3 mega primesFound 2 primes in the 2020 Tour de PrimesFound 1 prime in the 2022 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (3,205,525)Cullen LLR Ruby: Earned 2,000,000 credits (2,029,968)ESP LLR Ruby: Earned 2,000,000 credits (3,663,835)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,140,232)PPS LLR Jade: Earned 10,000,000 credits (13,053,300)PSP LLR Turquoise: Earned 5,000,000 credits (5,008,887)SoB LLR Ruby: Earned 2,000,000 credits (2,082,753)SR5 LLR Turquoise: Earned 5,000,000 credits (5,241,816)SGS LLR Ruby: Earned 2,000,000 credits (2,083,368)TRP LLR Turquoise: Earned 5,000,000 credits (5,029,943)Woodall LLR Ruby: Earned 2,000,000 credits (2,016,314)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (4,125,872)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,260,299)PPS Sieve Emerald: Earned 50,000,000 credits (80,037,653)AP 26/27 Jade: Earned 10,000,000 credits (11,797,474)GFN Emerald: Earned 50,000,000 credits (89,970,560)WW Emerald: Earned 50,000,000 credits (51,368,000)PSA Emerald: Earned 50,000,000 credits (62,919,830)
Message 151691 - Posted: 4 Oct 2021 | 14:50:19 UTC

Is it an idea to post it to prplist instead?

For partial factorization see factordb

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151692 - Posted: 4 Oct 2021 | 17:39:52 UTC - in response to Message 151691.

Is it an idea to post it to prplist instead?

Maybe we should "advertise" the number first, since there is some possibility that someone with huge computing power could finish it? Has this been mentioned elsewhere, like on Mersenneforum.org?

This could be a collective effort now, if enough people are interested and can find out a way to set up a distributed project.

Many numbers in PRP Top require factoring numbers with many thousand digits, which is much more "impossible" than factoring our 225-digit number.

For partial factorization see factordb

That is nice. People will add new factors there, if any are ever found.

/JeppeSN

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321 LLR Amethyst: Earned 1,000,000 credits (1,005,580)Cullen LLR Amethyst: Earned 1,000,000 credits (1,017,956)ESP LLR Gold: Earned 500,000 credits (644,543)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (521,209)PPS LLR Jade: Earned 10,000,000 credits (10,000,222)PSP LLR Gold: Earned 500,000 credits (566,492)SoB LLR Gold: Earned 500,000 credits (597,244)SR5 LLR Amethyst: Earned 1,000,000 credits (1,000,484)SGS LLR Amethyst: Earned 1,000,000 credits (1,052,361)TRP LLR Amethyst: Earned 1,000,000 credits (1,004,720)Woodall LLR Gold: Earned 500,000 credits (615,831)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,014,922)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,101,470)PPS Sieve Double Bronze: Earned 100,000,000 credits (100,344,557)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (715,073)TRP Sieve (suspended) Gold: Earned 500,000 credits (630,833)AP 26/27 Emerald: Earned 50,000,000 credits (74,884,446)GFN Sapphire: Earned 20,000,000 credits (38,551,940)WW Double Bronze: Earned 100,000,000 credits (100,076,000)PSA Jade: Earned 10,000,000 credits (10,047,861)
Message 151861 - Posted: 19 Oct 2021 | 23:25:03 UTC

Has any decision been made regarding GFN-11 MEGA?
____________
Werinbert is not prime... or PRPnet keeps telling me so.
Badge score: 12x3 + 1x4 + 2x6 + 2x7 + 1x8 + 1x9 + 1x10 = 93

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151874 - Posted: 20 Oct 2021 | 17:24:37 UTC - in response to Message 151861.
Last modified: 20 Oct 2021 | 19:46:15 UTC

Has any decision been made regarding GFN-11 MEGA?

I think yes. Mostly because peoples like to crunch new applications for WuProp badges. Also we'll have some results as examples for this kind of primes. But cons are also great:

- Results are expected to be non-reportable PRP. We failed to factorize half of GFN-12 MEGA bases (245 digits). It'll be much worse with GFN-11 bases which will be 489 digits. ECM can find only 55-digits factors in reasonable time (1 month on standard 4-core PC). We must be extremely lucky to find a base which either consist of small factors only either have one extremely large prime factor (so each remaining part will not exceed 55 digits).

- I have to rewrite few things on my server. Earlier, everything was controlled from LLR command line and my work to setup new project was just to copy/paste some lines changing necessary constants. GFN-11 MEGA candidates will exceed LLR(2) command line limit of 300 characters in the tested expression, so I have to write new file-based work generation and task distribution system for this project (and check that nothing will overflow inside LLR even in this case).

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321 LLR Gold: Earned 500,000 credits (942,037)Cullen LLR Bronze: Earned 10,000 credits (82,217)ESP LLR Bronze: Earned 10,000 credits (16,570)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (68,801)PPS LLR Ruby: Earned 2,000,000 credits (3,824,127)PSP LLR Silver: Earned 100,000 credits (106,263)SoB LLR Silver: Earned 100,000 credits (258,849)SR5 LLR Bronze: Earned 10,000 credits (59,499)SGS LLR Silver: Earned 100,000 credits (148,878)TRP LLR Silver: Earned 100,000 credits (195,905)Woodall LLR Bronze: Earned 10,000 credits (40,424)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,001,667)AP 26/27 Bronze: Earned 10,000 credits (72,774)GFN Gold: Earned 500,000 credits (721,616)WW Bronze: Earned 10,000 credits (12,000)
Message 151875 - Posted: 20 Oct 2021 | 17:33:49 UTC - in response to Message 151874.

It'll be much worse with GFN-11 bases which will be 353 digits.

Shouldn't that be 489?

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151877 - Posted: 20 Oct 2021 | 19:46:55 UTC - in response to Message 151875.

It'll be much worse with GFN-11 bases which will be 353 digits.

Shouldn't that be 489?

Yes. I've edited the post.

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Discovered the World's First AP27!!!Discovered 11 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Emerald: Earned 50,000,000 credits (50,204,972)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,236,990)PPS LLR Emerald: Earned 50,000,000 credits (86,341,549)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Sapphire: Earned 20,000,000 credits (30,102,369)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,255)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (110,369,857)GFN Double Turquoise: Earned 5,000,000,000 credits (5,192,643,267)WW Emerald: Earned 50,000,000 credits (99,964,000)
Message 151944 - Posted: 24 Oct 2021 | 19:52:44 UTC - in response to Message 151874.
Last modified: 24 Oct 2021 | 20:04:26 UTC


- I have to rewrite few things on my server. Earlier, everything was controlled from LLR command line and my work to setup new project was just to copy/paste some lines changing necessary constants. GFN-11 MEGA candidates will exceed LLR(2) command line limit of 300 characters in the tested expression, so I have to write new file-based work generation and task distribution system for this project (and check that nothing will overflow inside LLR even in this case).


Stream,

I got a GFN11Mega running at the command line with LLR2
Maybe the 300 limit was extended but not documented?

llr2_win64_201114.exe -oGerbicz=1 -q"190880568043619196745858710869199340262739739165297541288860261919231300520637026081673196260251764084730572923821680257242954091061185112017397561405538291724020883036948742802421424996617325672792384599992465072078363947893924389415971637971808774155203727981089411000649170854300413901434140444900342387223814335592581094310231761182487216832411502606252990491877497417433401295278390481355152602752881480793450415494981527508763542994910431110043260406153080710064791100275825917011840^2048+1" -d -t1 Base factorized as : 2^7*5*13*223*76448451695393*360292159509743250046414411104393113659377537099329061510561904751085784963368426014952343384488383211538269463167694707150019914453257701309563655813016506741265922099410871669970565712862792499387464631940040814503253292070181164758778477342522798569202987507241292499215977940628606675366444024963699698944937117587210697409484783201301858383395120179760015678309247406857667378816656707067776153709996940043021241578835873020753397069984675534265873339928399 Base prime factor(s) taken : 360292159509743250046414411104393113659377537099329061510561904751085784963368426014952343384488383211538269463167694707150019914453257701309563655813016506741265922099410871669970565712862792499387464631940040814503253292070181164758778477342522798569202987507241292499215977940628606675366444024963699698944937117587210697409484783201301858383395120179760015678309247406857667378816656707067776153709996940043021241578835873020753397069984675534265873339928399 Resuming N-1 prime test of 190880568043619196745858710869199340262739739165297541288860261919231300520637026081673196260251764084730572923821680257242954091061185112017397561405538291724020883036948742802421424996617325672792384599992465072078363947893924389415971637971808774155203727981089411000649170854300413901434140444900342387223814335592581094310231761182487216832411502606252990491877497417433401295278390481355152602752881480793450415494981527508763542994910431110043260406153080710064791100275825917011840^2048+1 at bit 889 [0.02%] Using generic reduction FMA3 FFT length 336K, Pass1=448, Pass2=768, clm=4, a = 3

____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151945 - Posted: 24 Oct 2021 | 21:01:13 UTC - in response to Message 151944.

I got a GFN11Mega running at the command line with LLR2
Maybe the 300 limit was extended but not documented?

It will not refuse such test, it has no error checking at all and just silently overrides adjacent memory regions.

To be exact, each component of the test (k, b, n, c) should not exceed 299 characters. So whole test expression can be longer but it'll not help us because we have very long b.

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Discovered the World's First AP27!!!Discovered 11 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Emerald: Earned 50,000,000 credits (50,204,972)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,236,990)PPS LLR Emerald: Earned 50,000,000 credits (86,341,549)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Sapphire: Earned 20,000,000 credits (30,102,369)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,255)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (110,369,857)GFN Double Turquoise: Earned 5,000,000,000 credits (5,192,643,267)WW Emerald: Earned 50,000,000 credits (99,964,000)
Message 151946 - Posted: 24 Oct 2021 | 21:35:01 UTC - in response to Message 151945.

I got a GFN11Mega running at the command line with LLR2
Maybe the 300 limit was extended but not documented?

It will not refuse such test, it has no error checking at all and just silently overrides adjacent memory regions.

To be exact, each component of the test (k, b, n, c) should not exceed 299 characters. So whole test expression can be longer but it'll not help us because we have very long b.


Ah ok thanks, I just expected an error message when trying to run it.

Over-riding adjacent memory regions is worrying to say the least. 馃槥

Cheers
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

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Credit: 354,389,660
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321 LLR Amethyst: Earned 1,000,000 credits (1,005,580)Cullen LLR Amethyst: Earned 1,000,000 credits (1,017,956)ESP LLR Gold: Earned 500,000 credits (644,543)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (521,209)PPS LLR Jade: Earned 10,000,000 credits (10,000,222)PSP LLR Gold: Earned 500,000 credits (566,492)SoB LLR Gold: Earned 500,000 credits (597,244)SR5 LLR Amethyst: Earned 1,000,000 credits (1,000,484)SGS LLR Amethyst: Earned 1,000,000 credits (1,052,361)TRP LLR Amethyst: Earned 1,000,000 credits (1,004,720)Woodall LLR Gold: Earned 500,000 credits (615,831)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,014,922)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,101,470)PPS Sieve Double Bronze: Earned 100,000,000 credits (100,344,557)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (715,073)TRP Sieve (suspended) Gold: Earned 500,000 credits (630,833)AP 26/27 Emerald: Earned 50,000,000 credits (74,884,446)GFN Sapphire: Earned 20,000,000 credits (38,551,940)WW Double Bronze: Earned 100,000,000 credits (100,076,000)PSA Jade: Earned 10,000,000 credits (10,047,861)
Message 151950 - Posted: 24 Oct 2021 | 22:51:46 UTC - in response to Message 151946.

Over-writing adjacent memory regions is worrying to say the least. 馃槥

Is that how semi-primes are born?

____________
Werinbert is not prime... or PRPnet keeps telling me so.
Badge score: 12x3 + 1x4 + 2x6 + 2x7 + 1x8 + 1x9 + 1x10 = 93

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 152019 - Posted: 28 Oct 2021 | 14:45:21 UTC

GFN-12 Mega is coming to the end.

2021-10-26: No new work will be loaded after this date

And today is October 28. Only about 500 tasks are currently unsent, and it'll be over in a day or two.

Also, second unreported prime is now open (no luck with ECM).

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 152066 - Posted: 30 Oct 2021 | 16:29:31 UTC - in response to Message 152019.

Also, second unreported prime is now open (no luck with ECM).

Yes, b_min + 377416 is on factordb.com. /JeppeSN

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 152174 - Posted: 9 Nov 2021 | 7:23:22 UTC

As suggested above, i made a thread on Mersenneforum.org to try to make people there interested in attacking the two hard b from GFN-12 Mega. /JeppeSN

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 152227 - Posted: 13 Nov 2021 | 8:31:39 UTC

GFN-12 MEGA is finished!

Last task returned today.

Honestly, I expected that fifth prime will eventually pop up (a gap between last prime and leading edge is too high) but no luck. So we finished with 4 primes, two of them were successfully confirmed (base factorized) and reported.

GFN-11 MEGA is theoretically possible, but it'll require new LLR program which will be released soon and server software update. So no exact dates yet, stay tuned for updates in this thread!

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 154580 - Posted: 26 Feb 2022 | 15:06:57 UTC

GFN-11 MEGA is ready to go.

The last project in GFN-MEGA series, GFN-11 MEGA, will be started March 02, at 09:00 UTC.

The "b" in this project will be huge (489 digits). It'll be almost impossible to factorize to prove the number as true prime. It can be possible that all our finding will stay in PRP (probable prime) state. But lets hope for the best. At least, it'll be new WuProp application for those who is interested.

Everything else should be same as in previous projects. See top post for technical details. Please pay attention on how to setup multithreaded LLR, it significantly improves performance on most processors.

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Discovered the World's First AP27!!!Discovered 11 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Emerald: Earned 50,000,000 credits (50,204,972)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,236,990)PPS LLR Emerald: Earned 50,000,000 credits (86,341,549)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Sapphire: Earned 20,000,000 credits (30,102,369)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,255)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (110,369,857)GFN Double Turquoise: Earned 5,000,000,000 credits (5,192,643,267)WW Emerald: Earned 50,000,000 credits (99,964,000)
Message 154586 - Posted: 26 Feb 2022 | 18:03:18 UTC

Great!

Thanks Stream. Looking forward to it.
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

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Discovered 12 mega primesFound 12 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 6 primes in the 2019 Tour de PrimesFound 7 primes in the 2020 Tour de PrimesFound 2 mega primes in the 2020 Tour de PrimesFound 1 prime in the 2020 Tour de Primes Mountain StageFound 16 primes in the 2021 Tour de PrimesFound 2 mega primes in the 2021 Tour de PrimesFound 2 primes in the 2021 Tour de Primes Mountain StageFound 8 primes in the 2022 Tour de PrimesFound 3 mega primes in the 2022 Tour de Primes321 LLR Emerald: Earned 50,000,000 credits (69,257,647)Cullen LLR Emerald: Earned 50,000,000 credits (75,471,749)ESP LLR Emerald: Earned 50,000,000 credits (51,847,380)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (100,504,074)PPS LLR Double Silver: Earned 200,000,000 credits (303,045,947)PSP LLR Double Bronze: Earned 100,000,000 credits (139,883,108)SoB LLR Double Bronze: Earned 100,000,000 credits (116,853,798)SR5 LLR Double Bronze: Earned 100,000,000 credits (108,186,478)SGS LLR Double Bronze: Earned 100,000,000 credits (115,240,976)TPS LLR (retired) Bronze: Earned 10,000 credits (76,266)TRP LLR Emerald: Earned 50,000,000 credits (98,577,299)Woodall LLR Double Bronze: Earned 100,000,000 credits (102,333,560)321 Sieve (suspended) Double Silver: Earned 200,000,000 credits (205,512,337)Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (35,459,921)Generalized Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (103,015,099)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (3,677,876,802)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (11,101,054)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (25,930,215)AP 26/27 Double Gold: Earned 500,000,000 credits (522,351,708)GFN Double Gold: Earned 500,000,000 credits (874,473,762)WW Double Gold: Earned 500,000,000 credits (783,436,000)PSA Double Bronze: Earned 100,000,000 credits (102,345,581)
Message 154601 - Posted: 27 Feb 2022 | 3:15:37 UTC

My computers have just warmed up for the month of February so they're raring to go on the GFN-11 Mega chase. Thank you for setting this up Stream.
____________

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Discovered 24 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2020 Tour de PrimesFound 1 mega prime in the 2020 Tour de PrimesFound 3 primes in the 2021 Tour de PrimesFound 3 mega primes in the 2021 Tour de PrimesFound 2 primes in the 2022 Tour de PrimesFound 2 mega primes in the 2022 Tour de PrimesFound 1 prime in the 2022 Tour de Primes Mountain StageFound 1 mega prime  in the 2022 Tour de Primes Mountain Stage321 LLR Sapphire: Earned 20,000,000 credits (35,598,151)Cullen LLR Sapphire: Earned 20,000,000 credits (25,502,466)ESP LLR Sapphire: Earned 20,000,000 credits (30,127,325)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (30,202,569)PPS LLR Double Bronze: Earned 100,000,000 credits (143,741,828)PSP LLR Sapphire: Earned 20,000,000 credits (34,973,901)SoB LLR Sapphire: Earned 20,000,000 credits (30,740,403)SR5 LLR Emerald: Earned 50,000,000 credits (94,548,597)SGS LLR Sapphire: Earned 20,000,000 credits (30,255,260)TRP LLR Sapphire: Earned 20,000,000 credits (32,509,776)Woodall LLR Sapphire: Earned 20,000,000 credits (29,192,741)321 Sieve (suspended) Emerald: Earned 50,000,000 credits (50,559,131)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,297,856)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,711,622)PPS Sieve Double Gold: Earned 500,000,000 credits (751,714,284)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (11,707,274)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,316,578)AP 26/27 Double Gold: Earned 500,000,000 credits (502,465,645)GFN Double Gold: Earned 500,000,000 credits (780,587,536)WW Double Gold: Earned 500,000,000 credits (617,884,000)PSA Emerald: Earned 50,000,000 credits (76,751,649)
Message 154609 - Posted: 27 Feb 2022 | 6:29:20 UTC

CPU only? Preferences lets me also check GPU.
____________
Reno, NV

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 154627 - Posted: 27 Feb 2022 | 21:21:33 UTC - in response to Message 154609.

CPU only? Preferences lets me also check GPU.

Fixed.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 154934 - Posted: 25 Mar 2022 | 10:36:27 UTC

GFN-11 MEGA Prime found!

March 25 2022, a GFN-11 MEGA prime was found by PDW. Congratulations!

Technically, it is not a first mega prime yet because there are untested candidates below this number, they must be completed first. But with high probability it is.

What was really unexpected is that base was easily factorized and the number is not just a PRP but a proven prime! The base had a 22-digits factor which was quickly found by ECM and remaining 463-digits part also was prime. It was a lot of luck involved!

Unfortunately, currently T5K cannot handle so long primes (its standard form, b^2048+1, is 496 characters long!) I wrote Chris about this issue hoping that limit can be increased.

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Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (6,055,323)Cullen LLR Gold: Earned 500,000 credits (776,297)ESP LLR Ruby: Earned 2,000,000 credits (3,433,680)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,443,837)PPS LLR Sapphire: Earned 20,000,000 credits (33,250,306)PSP LLR Turquoise: Earned 5,000,000 credits (6,587,988)SoB LLR Sapphire: Earned 20,000,000 credits (44,801,913)SR5 LLR Turquoise: Earned 5,000,000 credits (6,135,381)SGS LLR Ruby: Earned 2,000,000 credits (3,627,779)TRP LLR Turquoise: Earned 5,000,000 credits (7,078,152)Woodall LLR Amethyst: Earned 1,000,000 credits (1,693,614)321 Sieve (suspended) Emerald: Earned 50,000,000 credits (50,256,050)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,571,178)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,009,610)PPS Sieve Double Silver: Earned 200,000,000 credits (444,224,259)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,165,888)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,071,454)AP 26/27 Turquoise: Earned 5,000,000 credits (6,798,063)GFN Emerald: Earned 50,000,000 credits (57,105,628)WW Ruby: Earned 2,000,000 credits (2,072,000)PSA Double Bronze: Earned 100,000,000 credits (102,762,384)
Message 154942 - Posted: 25 Mar 2022 | 15:38:01 UTC - in response to Message 154934.

Unfortunately, currently T5K cannot handle so long primes (its standard form, b^2048+1, is 496 characters long!) I wrote Chris about this issue hoping that limit can be increased.

It's likely to be listed with a form like <first 20 digits of b>"...(445 other digits)..."<last 20 digits of b>^2048+1

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321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Jade: Earned 10,000,000 credits (10,019,714)SoB LLR Turquoise: Earned 5,000,000 credits (8,430,937)SR5 LLR Silver: Earned 100,000 credits (100,048)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Turquoise: Earned 5,000,000 credits (5,492,312)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,171,955,526)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)WW Double Bronze: Earned 100,000,000 credits (100,000,000)PSA Ruby: Earned 2,000,000 credits (4,643,008)
Message 155021 - Posted: 2 Apr 2022 | 19:42:09 UTC - in response to Message 154934.

I wrote Chris about this issue hoping that limit can be increased.

Has Chris not replied about fixing this limitation so that the prime can be added to his list ?

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 155027 - Posted: 3 Apr 2022 | 6:47:20 UTC - in response to Message 155021.

I wrote Chris about this issue hoping that limit can be increased.

Has Chris not replied about fixing this limitation so that the prime can be added to his list ?

Yes, he replied that he'll look on the site code but nothing changed yet, "Number too long".

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321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Jade: Earned 10,000,000 credits (10,019,714)SoB LLR Turquoise: Earned 5,000,000 credits (8,430,937)SR5 LLR Silver: Earned 100,000 credits (100,048)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Turquoise: Earned 5,000,000 credits (5,492,312)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,171,955,526)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)WW Double Bronze: Earned 100,000,000 credits (100,000,000)PSA Ruby: Earned 2,000,000 credits (4,643,008)
Message 155028 - Posted: 3 Apr 2022 | 8:20:54 UTC - in response to Message 155027.

Okay, thanks, I'll wait some more before asking him about it.

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Discovered 1 mega prime321 LLR Jade: Earned 10,000,000 credits (10,798,563)Cullen LLR Sapphire: Earned 20,000,000 credits (27,510,406)ESP LLR Jade: Earned 10,000,000 credits (11,796,601)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (11,765,659)PPS LLR Sapphire: Earned 20,000,000 credits (22,711,533)PSP LLR Jade: Earned 10,000,000 credits (13,298,024)SoB LLR Jade: Earned 10,000,000 credits (13,216,520)SR5 LLR Jade: Earned 10,000,000 credits (10,643,388)SGS LLR Amethyst: Earned 1,000,000 credits (1,587,974)TRP LLR Jade: Earned 10,000,000 credits (10,754,976)Woodall LLR Jade: Earned 10,000,000 credits (10,587,764)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,526)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,323,773)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,758)PPS Sieve Emerald: Earned 50,000,000 credits (77,871,919)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,081,558)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,180,919)AP 26/27 Emerald: Earned 50,000,000 credits (60,545,241)GFN Double Amethyst: Earned 1,000,000,000 credits (1,009,394,913)WW Emerald: Earned 50,000,000 credits (50,096,000)
Message 155110 - Posted: 11 Apr 2022 | 7:19:43 UTC

Hello!

Thank You Stream again for setting up this site and all the projects 馃槃
Deja vu;
when looking back at GFN-12 Mega search PDW and robish seems to be on the finders list again, congratulation both of you 鈽

PDW deserves a very spesial badge(King of GFN-(11-15) 馃ご馃徎)!

Hope we can find some more (1 or 2?) primes the last 15 days before it closes.

As Stream says in first post:
[quote]Duration of all projects will follow same rules as GFN-15 MEGA - one month after prime will be found. Minimal duration will be 3 months (even if prime will be found faster).
PDW did find his prime March 25 .

With regards,
Hans Sveen
Oslo, Norway

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 155113 - Posted: 11 Apr 2022 | 8:16:43 UTC - in response to Message 155110.

Hope we can find some more (1 or 2?) primes the last 15 days before it closes.

As Stream says in first post:
[quote]Duration of all projects will follow same rules as GFN-15 MEGA - one month after prime will be found. Minimal duration will be 3 months (even if prime will be found faster).
PDW did find his prime March 25 .

"Minimal duration will be 3 months (even if prime will be found faster).". So new work for those who still interested will available until June, see top post.

Also an update on status of the primes.

First prime is not submitted yet. Chris replied me that he changed something on T5K but unfortunately it didn't fixed our problem, I got same error - "Number is too long". Waiting for his next reply.

Second prime resisted quick ECM tests (up to 40 digits). The number left to factorize is huge - 464 digits. Next stop will be ECM up to 50 digits in factor, it requires about 62 CPU days and should be finished in about 2,5 weeks (I'm running it on a single 4-core PC). That's all what can be done with ECM; next attempt (at 55 digits) will require 1,15 CPU years and not worth the effort. Most probably, this number will be left unfactorized and published here as is.

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Discovered the World's First AP27!!!Discovered 11 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Emerald: Earned 50,000,000 credits (50,204,972)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,236,990)PPS LLR Emerald: Earned 50,000,000 credits (86,341,549)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Sapphire: Earned 20,000,000 credits (30,102,369)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,255)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (110,369,857)GFN Double Turquoise: Earned 5,000,000,000 credits (5,192,643,267)WW Emerald: Earned 50,000,000 credits (99,964,000)
Message 155114 - Posted: 11 Apr 2022 | 13:09:58 UTC - in response to Message 155113.

Hope we can find some more (1 or 2?) primes the last 15 days before it closes.

As Stream says in first post:
[quote]Duration of all projects will follow same rules as GFN-15 MEGA - one month after prime will be found. Minimal duration will be 3 months (even if prime will be found faster).
PDW did find his prime March 25 .

"Minimal duration will be 3 months (even if prime will be found faster).". So new work for those who still interested will available until June, see top post.

Also an update on status of the primes.

First prime is not submitted yet. Chris replied me that he changed something on T5K but unfortunately it didn't fixed our problem, I got same error - "Number is too long". Waiting for his next reply.

Second prime resisted quick ECM tests (up to 40 digits). The number left to factorize is huge - 464 digits. Next stop will be ECM up to 50 digits in factor, it requires about 62 CPU days and should be finished in about 2,5 weeks (I'm running it on a single 4-core PC). That's all what can be done with ECM; next attempt (at 55 digits) will require 1,15 CPU years and not worth the effort. Most probably, this number will be left unfactorized and published here as is.


Stream,

I'll have a go at it if you like.
I have never done it, so if you could DM some instructions on how to do it, that would be great.
I have a server I could use with 36 cores. Might speed it up and free up your computer for something else.

Let me know what you think on discord DM maybe.

Cheers

Rob

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321 LLR Silver: Earned 100,000 credits (186,168)Cullen LLR Silver: Earned 100,000 credits (161,492)ESP LLR Silver: Earned 100,000 credits (128,326)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (115,730)PPS LLR Amethyst: Earned 1,000,000 credits (1,804,752)PSP LLR Silver: Earned 100,000 credits (132,546)SoB LLR Silver: Earned 100,000 credits (433,700)SR5 LLR Silver: Earned 100,000 credits (118,844)SGS LLR Silver: Earned 100,000 credits (167,333)TRP LLR Silver: Earned 100,000 credits (100,020)Woodall LLR Silver: Earned 100,000 credits (103,446)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,006,012)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,740,001)PPS Sieve Turquoise: Earned 5,000,000 credits (5,282,493)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Silver: Earned 100,000 credits (119,708)TRP Sieve (suspended) Gold: Earned 500,000 credits (527,925)AP 26/27 Amethyst: Earned 1,000,000 credits (1,051,262)GFN Ruby: Earned 2,000,000 credits (2,461,258)WW Turquoise: Earned 5,000,000 credits (5,100,000)
Message 155121 - Posted: 11 Apr 2022 | 21:13:00 UTC

Past 4 hours cant access web site / get/receive work
PRIVATE GFN SERVER | [http] [ID#1271] Info: Failed to connect to boincvm.proxyma.ru port 30080: Timed out

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Found 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,000,095)Cullen LLR Jade: Earned 10,000,000 credits (10,008,839)ESP LLR Jade: Earned 10,000,000 credits (10,006,418)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,003,970)PPS LLR Jade: Earned 10,000,000 credits (10,100,020)PSP LLR Jade: Earned 10,000,000 credits (10,003,892)SoB LLR Jade: Earned 10,000,000 credits (10,001,185)SR5 LLR Jade: Earned 10,000,000 credits (10,000,438)SGS LLR Jade: Earned 10,000,000 credits (10,001,204)TRP LLR Jade: Earned 10,000,000 credits (10,002,560)Woodall LLR Jade: Earned 10,000,000 credits (10,003,761)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,003,334)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (268,250)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,502)PPS Sieve Double Silver: Earned 200,000,000 credits (310,182,565)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,133)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,970)AP 26/27 Double Silver: Earned 200,000,000 credits (206,395,150)GFN Double Silver: Earned 200,000,000 credits (200,093,546)WW Double Gold: Earned 500,000,000 credits (960,200,000)PSA Double Silver: Earned 200,000,000 credits (200,000,001)
Message 155124 - Posted: 12 Apr 2022 | 5:53:49 UTC

Server power issue as per Discord discussion. Looks ok now.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 155248 - Posted: 28 Apr 2022 | 17:47:08 UTC

Well, it seems that I forgot to officially announce our second prime here. If was discussed on Discord, but not on the forum. Sorry.

So, April 08 robish found our second GFN-11 MEGA! Congratulations once again! :)

During these 20 days, me and robish tried to factorize this base. robish himself did a great job and run ECM testing for factors up to 55 digits. Unfortunately, nothing was found. According to my prime publishing policy, this prime is now visible on project status page. Unfactored 464-digits composite cofactor is added to first post of thread.

About 35 days left until the end of project, and it's quite likely that third prime will be found in these days.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,319,859)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 155310 - Posted: 5 May 2022 | 19:07:42 UTC

As I predicted, third GFN-11 MEGA prime was discovered quickly. Congratulations to Coleslaw! He did just a bit more than 100 tasks before this find. Very lucky!

This time I didn't spent much time on ECM testing, I run relatively quick test up to 45 digits and nothing was found. Composite cofactor is 446 digits long. The prime is open now.

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Joined: 5 Apr 14
Posts: 1677
ID: 306875
Credit: 40,341,297
RAC: 9,893
Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,611,895)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,181,260)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 155421 - Posted: 14 May 2022 | 9:22:58 UTC

The first GFN-11 mega is seen on Top 5000 as ((sqrtnint(10^999999,2048)+2)+364176)^2048+1 now! /JeppeSN

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Message boards : Generalized Fermat Prime Search : GFN-14/13/... MEGA Prime Search on GFN Server

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