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Message boards : Project Staging Area : Call to Arms! GFN32768

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Scott BrownProject donor
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Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 26 mega primesEliminated 7 conjecture "k"sDiscovered 1 Sophie Germain pairDiscovered 2 Fermat divisors2012 Tour de Primes highest prime count2012 Tour de Primes most Mountain Stage primes2015 Tour de Primes highest prime count2016 Tour de Primes highest prime countFound 23 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 2 primes in the 2018 Tour de Primes Mountain Stage2019 Tour de Primes highest prime countFound 22 primes in the 2019 Tour de Primes2020 Tour de Primes highest prime scoreFound 21 primes in the 2020 Tour de PrimesFound 4 mega primes in the 2020 Tour de Primes321 LLR Double Silver: Earned 200,000,000 credits (201,403,028)Cullen LLR Double Bronze: Earned 100,000,000 credits (132,570,377)ESP LLR Double Silver: Earned 200,000,000 credits (203,249,784)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (109,580,172)PPS LLR Double Gold: Earned 500,000,000 credits (645,747,800)PSP LLR Double Bronze: Earned 100,000,000 credits (126,982,721)SoB LLR Double Bronze: Earned 100,000,000 credits (135,747,083)SR5 LLR Double Silver: Earned 200,000,000 credits (214,194,272)SGS LLR Double Silver: Earned 200,000,000 credits (200,650,431)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Silver: Earned 200,000,000 credits (201,215,056)Woodall LLR Double Bronze: Earned 100,000,000 credits (101,447,725)321 Sieve (suspended) Double Silver: Earned 200,000,000 credits (235,451,253)Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (83,794,448)Generalized Cullen/Woodall Sieve (suspended) Double Silver: Earned 200,000,000 credits (285,139,652)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,728,026,453)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Double Silver: Earned 200,000,000 credits (203,523,358)TRP Sieve (suspended) Double Silver: Earned 200,000,000 credits (201,489,157)AP 26/27 Double Silver: Earned 200,000,000 credits (385,720,907)WW Jade: Earned 10,000,000 credits (16,108,000)GFN Double Amethyst: Earned 1,000,000,000 credits (1,926,649,733)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 51736 - Posted: 19 Mar 2012 | 13:49:46 UTC



The last GFN32768 prime found a few days ago is now only 50 spots or so from falling off the Top 5000 primes list. Let's give this project a push and see how many more of these we can get in the Top 5000 list!



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141941*2^4299438-1 is prime!


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321 LLR Gold: Earned 500,000 credits (976,144)Cullen LLR Gold: Earned 500,000 credits (605,361)ESP LLR Amethyst: Earned 1,000,000 credits (1,021,952)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (295,531)PPS LLR Amethyst: Earned 1,000,000 credits (1,312,201)PSP LLR Amethyst: Earned 1,000,000 credits (1,187,329)SoB LLR Ruby: Earned 2,000,000 credits (2,099,045)SR5 LLR Amethyst: Earned 1,000,000 credits (1,006,305)SGS LLR Amethyst: Earned 1,000,000 credits (1,056,488)TRP LLR Amethyst: Earned 1,000,000 credits (1,255,042)Woodall LLR Amethyst: Earned 1,000,000 credits (1,036,212)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,163,492)Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,010,148)Generalized Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (522,093)PPS Sieve Turquoise: Earned 5,000,000 credits (5,911,032)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Silver: Earned 100,000 credits (200,554)TRP Sieve (suspended) Silver: Earned 100,000 credits (200,842)AP 26/27 Gold: Earned 500,000 credits (665,256)GFN Amethyst: Earned 1,000,000 credits (1,226,318)PSA Ruby: Earned 2,000,000 credits (3,180,386)
Message 52043 - Posted: 25 Mar 2012 | 16:47:40 UTC - in response to Message 51736.

Aaaaaaaand it's off the list. My number 5177652^32768+1 was 100 digits short of the bottom line. Hop to it, all!

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Turquoise: Earned 5,000,000 credits (8,820,552)PSP LLR Silver: Earned 100,000 credits (212,242)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (105,212)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)WW Bronze: Earned 10,000 credits (12,000)GFN Silver: Earned 100,000 credits (160,076)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 82086 - Posted: 4 Jan 2015 | 21:56:39 UTC

I just want to celebrate that user composite has found no less than twelve primes in the GFN32768 within just a couple of weeks. The b values of his finds are in the range 7663846 through 8191116.

NB! No primes in GFN32768 are in the Top 5000 list anymore. At the time of writing, that would require a b value of nearly 136,000,000,000.

/JeppeSN

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Discovered 2 mega primesFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,477,467)Cullen LLR Gold: Earned 500,000 credits (776,297)ESP LLR Ruby: Earned 2,000,000 credits (3,120,351)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,056,207)PPS LLR Sapphire: Earned 20,000,000 credits (20,151,627)PSP LLR Turquoise: Earned 5,000,000 credits (5,027,818)SoB LLR Sapphire: Earned 20,000,000 credits (24,738,142)SR5 LLR Turquoise: Earned 5,000,000 credits (6,110,877)SGS LLR Ruby: Earned 2,000,000 credits (3,477,744)TRP LLR Turquoise: Earned 5,000,000 credits (7,025,303)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 (312,327,142)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 (6,616,128)WW Silver: Earned 100,000 credits (128,000)GFN Emerald: Earned 50,000,000 credits (52,755,348)PSA Double Bronze: Earned 100,000,000 credits (102,762,384)
Message 82093 - Posted: 5 Jan 2015 | 4:21:08 UTC - in response to Message 82086.

The b limit with the x87 transform is 64M. That's far short of 136G needed to be near the bottom of the Top 5000 list.

I'm wondering if there's any point to continuing this project on PRPNet, other than collecting long lists of smaller primes. It has been established at this thread that results from lower N like 32768 will not be used to filter work units of higher N on PRPNet.

Is there a commitment to finish work that PRPNet has reserved? How much work is left in the reservation?

GFN32768 would be a nice shorter task for CPU-only BOINCers to attain credit toward GFN badges, but it goes against the spirit of PrimeGrid, which runs non-conjecture projects that place in Top 5000. That said, there are a lot of people that take pride in their badges, who lack patience or CPU speed for longer-deadline CPU tasks.

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Turquoise: Earned 5,000,000 credits (8,820,552)PSP LLR Silver: Earned 100,000 credits (212,242)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (105,212)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)WW Bronze: Earned 10,000 credits (12,000)GFN Silver: Earned 100,000 credits (160,076)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 82098 - Posted: 5 Jan 2015 | 13:44:41 UTC - in response to Message 82093.

[...] I'm wondering if there's any point to continuing this project on PRPNet, [...]


May I ask what your motivation has been for doing such an impressive effort on GFN32768? You are finding almost 1.0 new prime per day. Are you hoping to upgrade your badge? /JeppeSN

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Discovered 2 mega primesFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,477,467)Cullen LLR Gold: Earned 500,000 credits (776,297)ESP LLR Ruby: Earned 2,000,000 credits (3,120,351)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,056,207)PPS LLR Sapphire: Earned 20,000,000 credits (20,151,627)PSP LLR Turquoise: Earned 5,000,000 credits (5,027,818)SoB LLR Sapphire: Earned 20,000,000 credits (24,738,142)SR5 LLR Turquoise: Earned 5,000,000 credits (6,110,877)SGS LLR Ruby: Earned 2,000,000 credits (3,477,744)TRP LLR Turquoise: Earned 5,000,000 credits (7,025,303)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 (312,327,142)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 (6,616,128)WW Silver: Earned 100,000 credits (128,000)GFN Emerald: Earned 50,000,000 credits (52,755,348)PSA Double Bronze: Earned 100,000,000 credits (102,762,384)
Message 82100 - Posted: 5 Jan 2015 | 14:20:16 UTC - in response to Message 82098.

When I started on this port I wasn't aware that it would never reach Top 5000. But now it just seems like PSA work that has been neglected, probably because it's x87-only and it's not Top 5000.

I'm suggesting 32768 and 64556 as complementary additions to BOINC for GFN badge seekers that don't have AVX. I'll still be crunching PSA if these ports are moved to BOINC.

The current prime find rate looks impressive because the tasks are so short and the primes are locally dense. Why have people who did more tests on this port find so many fewer primes? Was a previous version of the seive not as effective or the primality test defective, or were larger b's being tested? Or is it just blind luck?

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,822,730)Cullen LLR Ruby: Earned 2,000,000 credits (3,624,591)ESP LLR Turquoise: Earned 5,000,000 credits (5,021,269)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Jade: Earned 10,000,000 credits (16,008,485)PSP LLR Turquoise: Earned 5,000,000 credits (5,197,957)SoB LLR Sapphire: Earned 20,000,000 credits (34,291,181)SR5 LLR Jade: Earned 10,000,000 credits (10,007,110)SGS LLR Ruby: Earned 2,000,000 credits (2,431,514)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Ruby: Earned 2,000,000 credits (2,911,985)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,061,196)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (22,885,121)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Jade: Earned 10,000,000 credits (10,118,303)WW Silver: Earned 100,000 credits (436,000)GFN Emerald: Earned 50,000,000 credits (75,106,275)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 82102 - Posted: 5 Jan 2015 | 14:36:30 UTC - in response to Message 82100.

When I started on this port I wasn't aware that it would never reach Top 5000. But now it just seems like PSA work that has been neglected, probably because it's x87-only and it's not Top 5000.

I'm suggesting 32768 and 64556 as complementary additions to BOINC for GFN badge seekers that don't have AVX. I'll still be crunching PSA if these ports are moved to BOINC.

The current prime find rate looks impressive because the tasks are so short and the primes are locally dense. Why have people who did more tests on this port find so many fewer primes? Was a previous version of the seive not as effective or the primality test defective, or were larger b's being tested? Or is it just blind luck?


There has been no sieving done in a long time, so we're using the same sieve file as before. There's nothing to suggest that there's been anything wrong with the software. (And, by the way, I have been verifying that the PRP's you're finding with Genefer are in fact prime.)

A very big part of it is simply that you're doing a lot of tests, and have done more n=32768 tests than anyone else except Scott Brown. (Even without AVX, computers are much faster than they used to be.) You've got more primes than he does, and that's probably just luck. More interesting is that Honza has done almost as many tests as you have but only has found one prime. Again, I suspect that's luck.
____________
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Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 26 mega primesEliminated 7 conjecture "k"sDiscovered 1 Sophie Germain pairDiscovered 2 Fermat divisors2012 Tour de Primes highest prime count2012 Tour de Primes most Mountain Stage primes2015 Tour de Primes highest prime count2016 Tour de Primes highest prime countFound 23 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 2 primes in the 2018 Tour de Primes Mountain Stage2019 Tour de Primes highest prime countFound 22 primes in the 2019 Tour de Primes2020 Tour de Primes highest prime scoreFound 21 primes in the 2020 Tour de PrimesFound 4 mega primes in the 2020 Tour de Primes321 LLR Double Silver: Earned 200,000,000 credits (201,403,028)Cullen LLR Double Bronze: Earned 100,000,000 credits (132,570,377)ESP LLR Double Silver: Earned 200,000,000 credits (203,249,784)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (109,580,172)PPS LLR Double Gold: Earned 500,000,000 credits (645,747,800)PSP LLR Double Bronze: Earned 100,000,000 credits (126,982,721)SoB LLR Double Bronze: Earned 100,000,000 credits (135,747,083)SR5 LLR Double Silver: Earned 200,000,000 credits (214,194,272)SGS LLR Double Silver: Earned 200,000,000 credits (200,650,431)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Silver: Earned 200,000,000 credits (201,215,056)Woodall LLR Double Bronze: Earned 100,000,000 credits (101,447,725)321 Sieve (suspended) Double Silver: Earned 200,000,000 credits (235,451,253)Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (83,794,448)Generalized Cullen/Woodall Sieve (suspended) Double Silver: Earned 200,000,000 credits (285,139,652)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,728,026,453)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Double Silver: Earned 200,000,000 credits (203,523,358)TRP Sieve (suspended) Double Silver: Earned 200,000,000 credits (201,489,157)AP 26/27 Double Silver: Earned 200,000,000 credits (385,720,907)WW Jade: Earned 10,000,000 credits (16,108,000)GFN Double Amethyst: Earned 1,000,000,000 credits (1,926,649,733)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 82103 - Posted: 5 Jan 2015 | 14:53:54 UTC - in response to Message 82102.

Indeed, much of my luck (as compared to Honza's) on this port came from the fact that I did a lot of crunching as a solo cruncher while others were off to other PRPnet and/or BOINC projects. I suspect that this is why you are finding so many primes compared to others who did large amounts of work when more users were active on the port.

That said, I have thrown an old T2450 laptop back into the mix (just got a replacement battery for it)...maybe I'll get lucky, too! ;)

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Turquoise: Earned 5,000,000 credits (8,820,552)PSP LLR Silver: Earned 100,000 credits (212,242)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (105,212)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)WW Bronze: Earned 10,000 credits (12,000)GFN Silver: Earned 100,000 credits (160,076)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 82104 - Posted: 5 Jan 2015 | 15:00:04 UTC

Also note that the GFN65536 primes are also falling out of the Top 5000. I found a way to link this search result which shows that (right now) eight GFN65536 numbers have fallen out of the Top 5000 (all were known before the birth of PrimeGrid).

/JeppeSN

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,822,730)Cullen LLR Ruby: Earned 2,000,000 credits (3,624,591)ESP LLR Turquoise: Earned 5,000,000 credits (5,021,269)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Jade: Earned 10,000,000 credits (16,008,485)PSP LLR Turquoise: Earned 5,000,000 credits (5,197,957)SoB LLR Sapphire: Earned 20,000,000 credits (34,291,181)SR5 LLR Jade: Earned 10,000,000 credits (10,007,110)SGS LLR Ruby: Earned 2,000,000 credits (2,431,514)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Ruby: Earned 2,000,000 credits (2,911,985)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,061,196)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (22,885,121)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Jade: Earned 10,000,000 credits (10,118,303)WW Silver: Earned 100,000 credits (436,000)GFN Emerald: Earned 50,000,000 credits (75,106,275)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 82106 - Posted: 5 Jan 2015 | 15:46:13 UTC - in response to Message 82104.

Also note that the GFN65536 primes are also falling out of the Top 5000. I found a way to link this search result which shows that (right now) eight GFN65536 numbers have fallen out of the Top 5000 (all were known before the birth of PrimeGrid).

/JeppeSN


I suspect that within 5 or 6 years PPSE will have pushed n=65536 completely out of the top 5000.
____________
My lucky number is 75898524288+1

Message boards : Project Staging Area : Call to Arms! GFN32768

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