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Message boards : AP26 - AP27 Search : Change to AP27 search parameters

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Profile Michael GoetzProject donor
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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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,085,897)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Turquoise: Earned 5,000,000 credits (6,773,474)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,221,148)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,222)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)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 (20,110,788)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (65,595,439)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 121842 - Posted: 3 Nov 2018 | 23:48:13 UTC

When we started the AP 27 search, we decided to search both shift 0 and shift 640 equally.

With an AP27 challenge starting in a few weeks, I decided to look into whether it was time to also start searching shift 1280.

The higher the shift, the fewer AP sequences you'll find. But as k increases within a shift, the number of sequences you find also decreases. There comes a point where you should start searching the next shift.

Right now, for every million k we search, we're finding about 1400 APs at shift 0 and about 1050 APs at shift 640.

If we started shift 1280, we'd probably get something between 700 and 1000 APs per million k. Definitely less than either 0 or 640.

Rather than open up 1280, we've closed down 640 and will run only shift 0 for a while until it's producing about 1050 APs per million k.

Both shift 0 and shift 640 are currently at approximately k=74M.
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Message 121845 - Posted: 4 Nov 2018 | 1:48:36 UTC

I may have missed it in my thread browsing, but what exactly are "shifts"?

Also, will this affect task size (i.e. runtime) and/or credit?
____________
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Profile Michael GoetzProject donor
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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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,085,897)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Turquoise: Earned 5,000,000 credits (6,773,474)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,221,148)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,222)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)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 (20,110,788)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (65,595,439)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 121848 - Posted: 4 Nov 2018 | 3:38:29 UTC - in response to Message 121845.
Last modified: 4 Nov 2018 | 12:01:51 UTC

I may have missed it in my thread browsing, but what exactly are "shifts"?

Also, will this affect task size (i.e. runtime) and/or credit?


Read this:

http://www.math.uni.wroc.pl/~jwr/AP26/AP26v3.pdf

If this was GFN, you could think of the shift as "N" and k as "B". It's not the same numerical relationship, but the roles are similar. The shift is a set of candidates that are going to be tested, with k iterating through the set.

In the paper, each shift was 64 bits, so the shifts were 0, 64, 128, 192, etc.

In the AP27 version of the search, we search 10 shifts at once, effectively creating 640 bit shifts, so the shifts are 0, 640, 1280, 1920, etc.

Right now, both shift 0 and shift 640 are at k = ~74M. We're freezing shift 640 where it is, and continuing with shift 0 until it reaches k = 143 M. At that point we will resume shift 640 and we will also start shift 1280.

From then on we will follow this pattern:

* All the shifts that have been started (initially, 0, 640, and 1280) will run in parallel until the most recently started shift (1280 initially) reaches k = 70M. Every shift will be approximately 70M k's ahead of the next shift.

* When the most recent shift gets to k = 70M, another shift (the next will be 1920) is started at k=0.

* The process then repeats.

* When a shift reaches k = 318M, it is shut down (the AP27 program will overflow otherwise).

* Shift 9600 is the last shift where k can go up to 318M. Shifts beyond 9600 have lower K limits.
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Found 2 primes in the 2018 Tour de PrimesFound 4 primes in the 2019 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,053,890)Cullen LLR Jade: Earned 10,000,000 credits (10,168,095)ESP LLR Jade: Earned 10,000,000 credits (11,401,438)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (11,458,304)PPS LLR Sapphire: Earned 20,000,000 credits (27,720,926)PSP LLR Jade: Earned 10,000,000 credits (10,025,532)SoB LLR Jade: Earned 10,000,000 credits (13,815,699)SR5 LLR Jade: Earned 10,000,000 credits (12,233,084)SGS LLR Jade: Earned 10,000,000 credits (10,157,780)TRP LLR Jade: Earned 10,000,000 credits (12,578,327)Woodall LLR Jade: Earned 10,000,000 credits (10,037,126)321 Sieve Sapphire: Earned 20,000,000 credits (20,128,873)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 Silver: Earned 200,000,000 credits (472,280,344)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 Silver: Earned 200,000,000 credits (350,442,232)GFN Double Bronze: Earned 100,000,000 credits (185,418,806)PSA Double Bronze: Earned 100,000,000 credits (109,745,972)
Message 121851 - Posted: 4 Nov 2018 | 4:16:08 UTC

That clears it up a bit, thanks. The paper was an interesting read, will need some digesting, though.
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Found 1 prime in the 2018 Tour de Primes321 LLR Gold: Earned 500,000 credits (506,942)Cullen LLR Gold: Earned 500,000 credits (500,523)ESP LLR Gold: Earned 500,000 credits (655,642)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (539,100)PPS LLR Gold: Earned 500,000 credits (688,232)PSP LLR Gold: Earned 500,000 credits (561,629)SoB LLR Ruby: Earned 2,000,000 credits (3,659,676)SR5 LLR Gold: Earned 500,000 credits (505,810)SGS LLR Gold: Earned 500,000 credits (506,024)TRP LLR Gold: Earned 500,000 credits (963,625)Woodall LLR Gold: Earned 500,000 credits (506,044)321 Sieve Gold: Earned 500,000 credits (511,694)Generalized Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (549,916)PPS Sieve Gold: Earned 500,000 credits (701,168)AP 26/27 Gold: Earned 500,000 credits (525,590)GFN Turquoise: Earned 5,000,000 credits (9,675,760)PSA Gold: Earned 500,000 credits (525,639)
Message 121853 - Posted: 4 Nov 2018 | 10:05:39 UTC - in response to Message 121848.

In the AP27 version of the search, we search 10 shifts at once, effectively creating 640 bit shifts, so the shifts are 0, 640, 1280, 2560, etc.


Wouldn't the next after 1280 be 1920 then?

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321 LLR Silver: Earned 100,000 credits (285,114)Cullen LLR Bronze: Earned 10,000 credits (98,851)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Ruby: Earned 2,000,000 credits (2,424,416)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Bronze: Earned 10,000 credits (16,010)TRP LLR Bronze: Earned 10,000 credits (71,060)Woodall LLR Silver: Earned 100,000 credits (109,455)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 121855 - Posted: 4 Nov 2018 | 10:28:22 UTC - in response to Message 121853.

In the AP27 version of the search, we search 10 shifts at once, effectively creating 640 bit shifts, so the shifts are 0, 640, 1280, 2560, etc.


Wouldn't the next after 1280 be 1920 then?


Either:
..., 0, 640, 1280, 1920, 2560, 3200, 3840, ...
or:
..., 5, 10, 20, 40, 80, 160, 320, 640, 1280, 2560, 5120, 10240, ...
/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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,085,897)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Turquoise: Earned 5,000,000 credits (6,773,474)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,221,148)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,222)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)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 (20,110,788)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (65,595,439)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 121858 - Posted: 4 Nov 2018 | 12:00:19 UTC - in response to Message 121853.

In the AP27 version of the search, we search 10 shifts at once, effectively creating 640 bit shifts, so the shifts are 0, 640, 1280, 2560, etc.


Wouldn't the next after 1280 be 1920 then?


Yes, it would be. I'll correct the 'plan'. Thanks.
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Discovered 1 mega primeFound 2 primes in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,148,880)Cullen LLR Ruby: Earned 2,000,000 credits (2,773,730)ESP LLR Turquoise: Earned 5,000,000 credits (5,174,327)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,356,142)PPS LLR Jade: Earned 10,000,000 credits (17,917,028)PSP LLR Ruby: Earned 2,000,000 credits (2,084,850)SoB LLR Turquoise: Earned 5,000,000 credits (5,014,268)SR5 LLR Jade: Earned 10,000,000 credits (11,169,992)SGS LLR Turquoise: Earned 5,000,000 credits (6,132,465)TRP LLR Turquoise: Earned 5,000,000 credits (6,568,836)Woodall LLR Ruby: Earned 2,000,000 credits (3,612,313)321 Sieve Emerald: Earned 50,000,000 credits (57,672,257)Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (127,922,665)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (30,984,158)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,049,151,131)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,134,964)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,013,696)AP 26/27 Double Bronze: Earned 100,000,000 credits (124,657,819)GFN Double Bronze: Earned 100,000,000 credits (152,361,440)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 122016 - Posted: 5 Nov 2018 | 15:38:47 UTC

So here's a somewhat "lazy" question because I haven't done any digging. I'm wondering how the list of ap's found is sorted. I ask because several ap's I've found recently are listed much lower than earlier finds.

Is this because of the change in parameters and we are only doing shift 0 at the moment? Also, is there a size for the ap (not referring to whether it's a 20 or 21 or ....) but with in the same range? (maybe this is the reason for the order)

Cheers

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321 LLR Silver: Earned 100,000 credits (285,114)Cullen LLR Bronze: Earned 10,000 credits (98,851)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Ruby: Earned 2,000,000 credits (2,424,416)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Bronze: Earned 10,000 credits (16,010)TRP LLR Bronze: Earned 10,000 credits (71,060)Woodall LLR Silver: Earned 100,000 credits (109,455)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 122017 - Posted: 5 Nov 2018 | 16:00:34 UTC - in response to Message 122016.

So here's a somewhat "lazy" question because I haven't done any digging. I'm wondering how the list of ap's found is sorted. I ask because several ap's I've found recently are listed much lower than earlier finds.

Is this because of the change in parameters and we are only doing shift 0 at the moment? Also, is there a size for the ap (not referring to whether it's a 20 or 21 or ....) but with in the same range? (maybe this is the reason for the order)

Cheers


Currently, looking only at your AP24, I see this:
AP24: 316274648710690823+72225058*23#*n for n=0..23 (2018-10-07 12:11:54 UTC) AP24: 288692820895984987+15022730*23#*n for n=0..23 (2016-11-30 21:36:43 UTC) AP24: 243773399004862751+10054941*23#*n for n=0..23 (2016-11-18 23:03:18 UTC) AP24: 265437309240041647+4081573*23#*n for n=0..23 (2016-10-02 02:09:19 UTC) AP24: 251506340752380587+4245962*23#*n for n=0..23 (2016-10-03 09:24:18 UTC) AP24: 213679296184640981+6537955*23#*n for n=0..23 (2016-10-23 03:20:27 UTC) AP24: 194193315973220033+5435343*23#*n for n=0..23 (2016-10-14 01:35:27 UTC) AP24: 57568392051724789+24248430*23#*n for n=0..23 (2017-03-13 07:15:13 UTC)


This seems to be "unsorted". It is not sorted by smallest term (the part before the plus, such as 316274648710690823). It is not sorted by the common difference in the progression (the coefficient to n, such as 72225058*23#). And it is also not sorted by the date (such as (2018-10-07 12:11:54 UTC)).

/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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,085,897)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Turquoise: Earned 5,000,000 credits (6,773,474)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,221,148)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,222)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)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 (20,110,788)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (65,595,439)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 122018 - Posted: 5 Nov 2018 | 16:15:58 UTC - in response to Message 122016.

So here's a somewhat "lazy" question because I haven't done any digging. I'm wondering how the list of ap's found is sorted. I ask because several ap's I've found recently are listed much lower than earlier finds.

Is this because of the change in parameters and we are only doing shift 0 at the moment? Also, is there a size for the ap (not referring to whether it's a 20 or 21 or ....) but with in the same range? (maybe this is the reason for the order)

Cheers


There's two places the AP list is displayed, the big list of everyone's APs (including some that weren't found at PrimeGrid), and your personal list.

Both are sorted first by length, i.e., the AP26s are shown by AP25s, and within each length, by size. Size is the largest prime in that AP sequence.

This seems to be "unsorted". It is not sorted by smallest term (the part before the plus, such as 316274648710690823). It is not sorted by the common difference in the progression (the coefficient to n, such as 72225058*23#). And it is also not sorted by the date (such as (2018-10-07 12:11:54 UTC)).


You were SO close! It's sorted by the largest term. That incorporates both the first term and the difference between terms.
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Discovered 1 mega primeFound 2 primes in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,148,880)Cullen LLR Ruby: Earned 2,000,000 credits (2,773,730)ESP LLR Turquoise: Earned 5,000,000 credits (5,174,327)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,356,142)PPS LLR Jade: Earned 10,000,000 credits (17,917,028)PSP LLR Ruby: Earned 2,000,000 credits (2,084,850)SoB LLR Turquoise: Earned 5,000,000 credits (5,014,268)SR5 LLR Jade: Earned 10,000,000 credits (11,169,992)SGS LLR Turquoise: Earned 5,000,000 credits (6,132,465)TRP LLR Turquoise: Earned 5,000,000 credits (6,568,836)Woodall LLR Ruby: Earned 2,000,000 credits (3,612,313)321 Sieve Emerald: Earned 50,000,000 credits (57,672,257)Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (127,922,665)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (30,984,158)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,049,151,131)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,134,964)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,013,696)AP 26/27 Double Bronze: Earned 100,000,000 credits (124,657,819)GFN Double Bronze: Earned 100,000,000 credits (152,361,440)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 122027 - Posted: 5 Nov 2018 | 17:07:45 UTC - in response to Message 122018.

There's two places the AP list is displayed, the big list of everyone's APs (including some that weren't found at PrimeGrid), and your personal list.

Both are sorted first by length, i.e., the AP26s are shown by AP25s, and within each length, by size. Size is the largest prime in that AP sequence.

This seems to be "unsorted". It is not sorted by smallest term (the part before the plus, such as 316274648710690823). It is not sorted by the common difference in the progression (the coefficient to n, such as 72225058*23#). And it is also not sorted by the date (such as (2018-10-07 12:11:54 UTC)).


You were SO close! It's sorted by the largest term. That incorporates both the first term and the difference between terms.


Thanks much - I just wasn't sure how things were sorted.

Cheers Rick
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321 LLR Silver: Earned 100,000 credits (285,114)Cullen LLR Bronze: Earned 10,000 credits (98,851)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Ruby: Earned 2,000,000 credits (2,424,416)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Bronze: Earned 10,000 credits (16,010)TRP LLR Bronze: Earned 10,000 credits (71,060)Woodall LLR Silver: Earned 100,000 credits (109,455)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 122042 - Posted: 5 Nov 2018 | 18:08:30 UTC - in response to Message 122018.

You were SO close! It's sorted by the largest term. That incorporates both the first term and the difference between terms.

Ah, yes, that is true:
(largest term: 686871244638829403) AP24: 316274648710690823+72225058*23#*n for n=0..23 (2018-10-07 12:11:54 UTC) (largest term: 365776491767492287) AP24: 288692820895984987+15022730*23#*n for n=0..23 (2016-11-30 21:36:43 UTC) (largest term: 295366668848388161) AP24: 243773399004862751+10054941*23#*n for n=0..23 (2016-11-18 23:03:18 UTC) (largest term: 286380415437785377) AP24: 265437309240041647+4081573*23#*n for n=0..23 (2016-10-02 02:09:19 UTC) (largest term: 273292949267672207) AP24: 251506340752380587+4245962*23#*n for n=0..23 (2016-10-03 09:24:18 UTC) (largest term: 247226432516900531) AP24: 213679296184640981+6537955*23#*n for n=0..23 (2016-10-23 03:20:27 UTC) (largest term: 222082800167221463) AP24: 194193315973220033+5435343*23#*n for n=0..23 (2016-10-14 01:35:27 UTC) (largest term: 181990384410689089) AP24: 57568392051724789+24248430*23#*n for n=0..23 (2017-03-13 07:15:13 UTC)
/JeppeSN

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Discovered 1 mega primeFound 2 primes in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,148,880)Cullen LLR Ruby: Earned 2,000,000 credits (2,773,730)ESP LLR Turquoise: Earned 5,000,000 credits (5,174,327)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,356,142)PPS LLR Jade: Earned 10,000,000 credits (17,917,028)PSP LLR Ruby: Earned 2,000,000 credits (2,084,850)SoB LLR Turquoise: Earned 5,000,000 credits (5,014,268)SR5 LLR Jade: Earned 10,000,000 credits (11,169,992)SGS LLR Turquoise: Earned 5,000,000 credits (6,132,465)TRP LLR Turquoise: Earned 5,000,000 credits (6,568,836)Woodall LLR Ruby: Earned 2,000,000 credits (3,612,313)321 Sieve Emerald: Earned 50,000,000 credits (57,672,257)Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (127,922,665)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (30,984,158)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,049,151,131)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,134,964)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,013,696)AP 26/27 Double Bronze: Earned 100,000,000 credits (124,657,819)GFN Double Bronze: Earned 100,000,000 credits (152,361,440)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 122285 - Posted: 8 Nov 2018 | 22:16:34 UTC

Just a question. Since we've changed the search pool so to speak and limited it to just 0 for now was wondering if your estimate of found APs was holding true.

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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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,085,897)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Turquoise: Earned 5,000,000 credits (6,773,474)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,221,148)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,222)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)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 (20,110,788)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (65,595,439)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 122290 - Posted: 9 Nov 2018 | 0:32:40 UTC - in response to Message 122285.

Just a question. Since we've changed the search pool so to speak and limited it to just 0 for now was wondering if your estimate of found APs was holding true.


I'm not sure I understand your question.

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Profile Rick Reynolds
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Joined: 13 Aug 10
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Discovered 1 mega primeFound 2 primes in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,148,880)Cullen LLR Ruby: Earned 2,000,000 credits (2,773,730)ESP LLR Turquoise: Earned 5,000,000 credits (5,174,327)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,356,142)PPS LLR Jade: Earned 10,000,000 credits (17,917,028)PSP LLR Ruby: Earned 2,000,000 credits (2,084,850)SoB LLR Turquoise: Earned 5,000,000 credits (5,014,268)SR5 LLR Jade: Earned 10,000,000 credits (11,169,992)SGS LLR Turquoise: Earned 5,000,000 credits (6,132,465)TRP LLR Turquoise: Earned 5,000,000 credits (6,568,836)Woodall LLR Ruby: Earned 2,000,000 credits (3,612,313)321 Sieve Emerald: Earned 50,000,000 credits (57,672,257)Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (127,922,665)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (30,984,158)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,049,151,131)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,134,964)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,013,696)AP 26/27 Double Bronze: Earned 100,000,000 credits (124,657,819)GFN Double Bronze: Earned 100,000,000 credits (152,361,440)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 122323 - Posted: 9 Nov 2018 | 14:21:02 UTC

Asked the wrong question.

Since the change to shift 0 only, is there any change in the distribution of APs found? Ie, more AP20's or more AP22's ? Just curious if the increase in units being worked made any difference what so ever in what AP's were found both in number and/or number (20-27).

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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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,085,897)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Turquoise: Earned 5,000,000 credits (6,773,474)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,221,148)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,222)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)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 (20,110,788)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (65,595,439)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 122325 - Posted: 9 Nov 2018 | 14:31:03 UTC - in response to Message 122323.

Asked the wrong question.

Since the change to shift 0 only, is there any change in the distribution of APs found? Ie, more AP20's or more AP22's ? Just curious if the increase in units being worked made any difference what so ever in what AP's were found both in number and/or number (20-27).


A) I don't know. This isn't the kind of thing I normally look at.
B) The change has only been in place for a few days.
C) When analyzing the data while we were considering whether or not to change the shifts, one of the things I looked at is whether the likelihood of finding APs of a certain length as either k or the shift varied was different than the overall likelihood of finding APs in general. I did not see any consistent pattern indicating that the probability of finding length X APs would be any different than length Y if we vary the parameters. In other words, we'll find more (or less) APs, but it doesn't favor long APs vs short APs (or viceversa).
____________
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Joined: 13 Aug 10
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Discovered 1 mega primeFound 2 primes in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,148,880)Cullen LLR Ruby: Earned 2,000,000 credits (2,773,730)ESP LLR Turquoise: Earned 5,000,000 credits (5,174,327)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,356,142)PPS LLR Jade: Earned 10,000,000 credits (17,917,028)PSP LLR Ruby: Earned 2,000,000 credits (2,084,850)SoB LLR Turquoise: Earned 5,000,000 credits (5,014,268)SR5 LLR Jade: Earned 10,000,000 credits (11,169,992)SGS LLR Turquoise: Earned 5,000,000 credits (6,132,465)TRP LLR Turquoise: Earned 5,000,000 credits (6,568,836)Woodall LLR Ruby: Earned 2,000,000 credits (3,612,313)321 Sieve Emerald: Earned 50,000,000 credits (57,672,257)Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (127,922,665)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (30,984,158)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,049,151,131)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,134,964)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,013,696)AP 26/27 Double Bronze: Earned 100,000,000 credits (124,657,819)GFN Double Bronze: Earned 100,000,000 credits (152,361,440)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 122326 - Posted: 9 Nov 2018 | 14:36:31 UTC

Thanks was just wondering because the higher end AP's I was finding seem to have dropped off. I wasn't sure if it was because there's a lot more folks or units being run or what. No biggie just curious.

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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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,085,897)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Turquoise: Earned 5,000,000 credits (6,773,474)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,221,148)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,222)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)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 (20,110,788)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (65,595,439)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 122328 - Posted: 9 Nov 2018 | 14:56:41 UTC

Here's some raw data. Feel free to come to your own conclusions. AP20 through AP26 are percentages of total.

+-------+------+-------+---------+---------+--------+--------+--------+--------+--------+ | month | day | total | AP20 | AP21 | AP22 | AP23 | AP24 | AP25 | AP26 | +-------+------+-------+---------+---------+--------+--------+--------+--------+--------+ | 10 | 20 | 232 | 81.0345 | 15.5172 | 2.5862 | 0.0000 | 0.8621 | 0.0000 | 0.0000 | | 10 | 21 | 244 | 71.7213 | 19.6721 | 6.5574 | 1.2295 | 0.8197 | 0.0000 | 0.0000 | | 10 | 22 | 256 | 78.1250 | 17.5781 | 3.5156 | 0.7813 | 0.0000 | 0.0000 | 0.0000 | | 10 | 23 | 202 | 78.7129 | 14.8515 | 4.9505 | 0.9901 | 0.4950 | 0.0000 | 0.0000 | | 10 | 24 | 161 | 72.0497 | 19.8758 | 6.2112 | 1.8634 | 0.0000 | 0.0000 | 0.0000 | | 10 | 25 | 167 | 71.8563 | 19.1617 | 6.5868 | 2.3952 | 0.0000 | 0.0000 | 0.0000 | | 10 | 26 | 239 | 76.5690 | 16.7364 | 5.4393 | 0.8368 | 0.0000 | 0.4184 | 0.0000 | | 10 | 27 | 238 | 76.8908 | 17.2269 | 5.4622 | 0.0000 | 0.4202 | 0.0000 | 0.0000 | | 10 | 28 | 205 | 77.0732 | 18.5366 | 3.9024 | 0.4878 | 0.0000 | 0.0000 | 0.0000 | | 10 | 29 | 221 | 79.6380 | 15.3846 | 2.2624 | 2.7149 | 0.0000 | 0.0000 | 0.0000 | | 10 | 30 | 200 | 75.0000 | 19.5000 | 4.5000 | 0.5000 | 0.5000 | 0.0000 | 0.0000 | | 10 | 31 | 161 | 72.6708 | 18.0124 | 6.2112 | 2.4845 | 0.6211 | 0.0000 | 0.0000 | | 11 | 1 | 184 | 77.1739 | 16.8478 | 5.9783 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | | 11 | 2 | 185 | 72.4324 | 20.0000 | 7.5676 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | | 11 | 3 | 212 | 78.3019 | 15.0943 | 5.6604 | 0.4717 | 0.4717 | 0.0000 | 0.0000 | | 11 | 4 | 225 | 76.4444 | 19.5556 | 2.2222 | 1.3333 | 0.4444 | 0.0000 | 0.0000 | | 11 | 5 | 262 | 76.7176 | 17.5573 | 4.5802 | 1.1450 | 0.0000 | 0.0000 | 0.0000 | | 11 | 6 | 297 | 75.0842 | 21.2121 | 2.6936 | 1.0101 | 0.0000 | 0.0000 | 0.0000 | | 11 | 7 | 393 | 79.6438 | 16.2850 | 3.3079 | 0.5089 | 0.2545 | 0.0000 | 0.0000 | | 11 | 8 | 245 | 76.3265 | 18.7755 | 3.6735 | 0.8163 | 0.4082 | 0.0000 | 0.0000 | | 11 | 9 | 140 | 76.4286 | 20.0000 | 2.8571 | 0.7143 | 0.0000 | 0.0000 | 0.0000 | +-------+------+-------+---------+---------+--------+--------+--------+--------+--------+

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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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,085,897)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Turquoise: Earned 5,000,000 credits (6,773,474)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,221,148)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,222)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)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 (20,110,788)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (65,595,439)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 131994 - Posted: 11 Aug 2019 | 10:17:31 UTC - in response to Message 121848.
Last modified: 11 Aug 2019 | 22:38:01 UTC

In the AP27 version of the search, we search 10 shifts at once, effectively creating 640 bit shifts, so the shifts are 0, 640, 1280, 1920, etc.

Right now, both shift 0 and shift 640 are at k = ~74M. We're freezing shift 640 where it is, and continuing with shift 0 until it reaches k = 143 M. At that point we will resume shift 640 and we will also start shift 1280.

From then on we will follow this pattern:

* All the shifts that have been started (initially, 0, 640, and 1280) will run in parallel until the most recently started shift (1280 initially) reaches k = 70M. Every shift will be approximately 70M k's ahead of the next shift.

* When the most recent shift gets to k = 70M, another shift (the next will be 1920) is started at k=0.

* The process then repeats.

* When a shift reaches k = 318M, it is shut down (the AP27 program will overflow otherwise).

* Shift 9600 is the last shift where k can go up to 318M. Shifts beyond 9600 have lower K limits.


Shift 0 has reached 143M, and we have resumed shift 640 and started shift 1280.

In case anyone's wondering, extrapolating how long it too to do 70M on shift 0 to all 11 shifts, if the processing rate stayed the same we'd have 41 years worth of work.
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