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Message boards : Generalized Fermat Prime Search : Guessing the future of GFN-22 and DYFL

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Profile JeppeSNProject donor
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Posts: 1378
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Credit: 21,623,822
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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 (9,594,179)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 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 Amethyst: Earned 1,000,000 credits (1,674,106)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 147091 - Posted: 27 Dec 2020 | 9:55:12 UTC

Here is a tough bet: Which will happen first:


  1. GFN-22 reaches the starting point (b = 846'396.7) of DYFL, likely without finding any GFN-22 primes, and the two 22-subprojects merge
  2. Someone outside PrimeGrid, likely GIMPS, finds a new world record prime, and DYFL jumps to that new position (resulting in two "holes")

And when?

/JeppeSN

Profile dannyridel
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Posts: 791
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Credit: 3,783,734
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321 LLR Silver: Earned 100,000 credits (100,228)Cullen LLR Bronze: Earned 10,000 credits (36,962)ESP LLR Bronze: Earned 10,000 credits (36,309)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (22,645)PPS LLR Silver: Earned 100,000 credits (219,290)PSP LLR Silver: Earned 100,000 credits (100,559)SoB LLR Silver: Earned 100,000 credits (138,888)SR5 LLR Bronze: Earned 10,000 credits (64,280)SGS LLR Bronze: Earned 10,000 credits (35,164)TRP LLR Bronze: Earned 10,000 credits (67,784)Woodall LLR Bronze: Earned 10,000 credits (40,976)321 Sieve Gold: Earned 500,000 credits (506,814)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (30,033)PPS Sieve Gold: Earned 500,000 credits (825,895)AP 26/27 Silver: Earned 100,000 credits (141,505)GFN Gold: Earned 500,000 credits (859,368)PSA Silver: Earned 100,000 credits (373,034)
Message 147093 - Posted: 27 Dec 2020 | 10:52:31 UTC - in response to Message 147091.
Last modified: 27 Dec 2020 | 10:52:51 UTC

no.2, July 2021
____________
SHSID Electronics Group
SHSIDElectronicsGroup@outlook.com

GFN-14: 50103906^16384+1
Proth "SoB": 44243*2^440969+1


Profile Michael GoetzProject donor
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Joined: 21 Jan 10
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Found 5 primes in the 2021 Tour de PrimesFound 5 mega primes in the 2021 Tour de PrimesThe "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 6 mega primesFound 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 (3,252,256)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Ruby: Earned 2,000,000 credits (2,911,985)321 Sieve 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)GFN Emerald: Earned 50,000,000 credits (76,733,355)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 147095 - Posted: 27 Dec 2020 | 13:49:48 UTC - in response to Message 147091.

Here is a tough bet: Which will happen first:

  1. GFN-22 reaches the starting point (b = 846'396.7) of DYFL, likely without finding any GFN-22 primes, and the two 22-subprojects merge
  2. Someone outside PrimeGrid, likely GIMPS, finds a new world record prime, and DYFL jumps to that new position (resulting in two "holes")

And when?

/JeppeSN



Almost certainly #2 is going to happen first. GFN22's leading edge took nearly 9 years to get to where it is now at 187K, and it's over three times as far to go to get to the start of DYFL. Additionally, it will exceed both the OCL and OCL4 limits before then, so the tasks will slow down.

GIMPS has been finding new world records every few years, so unless they hit a huge dry patch in Mersenne primes, they'll probably find a new prime decades before GFN22 ends.
____________
My lucky number is 75898524288+1

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Discovered 2 mega primesFound 4 primes in the 2020 Tour de PrimesFound 1 mega prime in the 2020 Tour de PrimesFound 1 prime in the 2020 Tour de Primes Mountain Stage321 LLR Ruby: Earned 2,000,000 credits (2,487,759)Cullen LLR Turquoise: Earned 5,000,000 credits (5,063,851)ESP LLR Amethyst: Earned 1,000,000 credits (1,024,055)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,299,317)PPS LLR Sapphire: Earned 20,000,000 credits (36,727,438)PSP LLR Ruby: Earned 2,000,000 credits (2,893,858)SoB LLR Ruby: Earned 2,000,000 credits (2,181,741)SR5 LLR Turquoise: Earned 5,000,000 credits (5,587,652)SGS LLR Turquoise: Earned 5,000,000 credits (5,068,782)TRP LLR Turquoise: Earned 5,000,000 credits (7,516,561)Woodall LLR Ruby: Earned 2,000,000 credits (3,582,688)321 Sieve Sapphire: Earned 20,000,000 credits (20,281,726)PPS Sieve Double Gold: Earned 500,000,000 credits (773,671,468)AP 26/27 Double Silver: Earned 200,000,000 credits (214,541,795)GFN Double Silver: Earned 200,000,000 credits (360,409,032)
Message 147096 - Posted: 27 Dec 2020 | 14:09:27 UTC

Given that a 3090 can run GFN22 in about 14 hrs, but DYFL will run in about 15.5 hrs, which sub project would you choose and which is more "likely" to have a chance of a prime, however remote?
____________

Profile Rafael
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321 LLR Turquoise: Earned 5,000,000 credits (8,236,942)Cullen LLR Turquoise: Earned 5,000,000 credits (8,028,695)ESP LLR Turquoise: Earned 5,000,000 credits (8,027,771)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,259,087)PPS LLR Turquoise: Earned 5,000,000 credits (7,722,618)PSP LLR Turquoise: Earned 5,000,000 credits (7,137,796)SoB LLR Turquoise: Earned 5,000,000 credits (6,941,728)SR5 LLR Turquoise: Earned 5,000,000 credits (7,186,115)SGS LLR Turquoise: Earned 5,000,000 credits (7,263,666)TRP LLR Turquoise: Earned 5,000,000 credits (8,751,781)Woodall LLR Turquoise: Earned 5,000,000 credits (7,119,125)321 Sieve Jade: Earned 10,000,000 credits (10,033,828)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (10,037,204)PPS Sieve Jade: Earned 10,000,000 credits (10,305,147)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Jade: Earned 10,000,000 credits (12,282,634)GFN Sapphire: Earned 20,000,000 credits (29,911,497)PSA Double Bronze: Earned 100,000,000 credits (170,761,999)
Message 147166 - Posted: 30 Dec 2020 | 16:35:30 UTC - in response to Message 147096.

Given that a 3090 can run GFN22 in about 14 hrs, but DYFL will run in about 15.5 hrs, which sub project would you choose and which is more "likely" to have a chance of a prime, however remote?

The lower the number, the higher the likelyhood of it being prime, so if you're only looking for A gfn22 prime, don't run DYFL.

With that said, you might as well look for a WR and have a shot at the cash reward / fame, or tone it down and look for the first GFN21 known to man instead.

GDB
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321 LLR Jade: Earned 10,000,000 credits (12,924,181)Cullen LLR Turquoise: Earned 5,000,000 credits (5,837,403)ESP LLR Turquoise: Earned 5,000,000 credits (5,398,406)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,474,599)PPS LLR Turquoise: Earned 5,000,000 credits (7,253,458)PSP LLR Turquoise: Earned 5,000,000 credits (6,084,153)SoB LLR Jade: Earned 10,000,000 credits (19,192,004)SR5 LLR Ruby: Earned 2,000,000 credits (3,158,684)SGS LLR Ruby: Earned 2,000,000 credits (3,121,612)TRP LLR Turquoise: Earned 5,000,000 credits (7,922,107)Woodall LLR Turquoise: Earned 5,000,000 credits (5,099,498)321 Sieve Turquoise: Earned 5,000,000 credits (5,834,160)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,647,915)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (11,373,349)PPS Sieve Double Silver: Earned 200,000,000 credits (217,760,089)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (4,080,038)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,803,337)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,258,314)GFN Double Silver: Earned 200,000,000 credits (268,198,290)PSA Double Amethyst: Earned 1,000,000,000 credits (1,860,788,989)
Message 147171 - Posted: 30 Dec 2020 | 18:03:16 UTC

I still think GFN22 is undersieved. I was removing a GFN22 factor every 72 seconds. That's about 1200 times faster than running GFN22.
____________

Profile JeppeSNProject donor
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Joined: 5 Apr 14
Posts: 1378
ID: 306875
Credit: 21,623,822
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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 (9,594,179)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 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 Amethyst: Earned 1,000,000 credits (1,674,106)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 147172 - Posted: 30 Dec 2020 | 18:25:57 UTC - in response to Message 147166.

the cash reward

I do not think you will earn a cash reward for beating the world record, here at PrimeGrid.

GIMPS got a cash prize when they found the first croreprime (10'000'000-digit prime), and might also find the first 100'000'000-digit prime in the distant future. I think GIMPS uses some of this money to give a cash reward to finders. PrimeGrid does not have that.

/JeppeSN

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Message boards : Generalized Fermat Prime Search : Guessing the future of GFN-22 and DYFL

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