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Message boards : Project Staging Area : No port for GFN131072

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Profile JeppeSNProject donor
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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)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 Turquoise: Earned 5,000,000 credits (8,083,095)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 (104,534)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)AP 26/27 Bronze: Earned 10,000 credits (12,129)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 75823 - Posted: 23 Apr 2014 | 13:35:59 UTC
Last modified: 23 Apr 2014 | 13:37:35 UTC

I am new here and have probably missed some history, but why do we have ports for GFN32768, GFN65536 (n=15,16) and for GFN262144, GFN524288 (n=18,19) while we have no testing of GFN131072 (n=17)?

Is testing of GFN131072, that is b^(2^17) + 1, being done elsewhere?

/JeppeSN

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 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 (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 Jade: Earned 10,000,000 credits (15,524,174)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 (2,276,330)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)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 (74,615,669)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 75825 - Posted: 23 Apr 2014 | 13:46:06 UTC - in response to Message 75823.

I am new here and have probably missed some history, but why do we have ports for GFN32768, GFN65536 (n=15,16) and for GFN262144, GFN524288 (n=18,19) while we have no testing of GFN131072 (n=17)?

Is testing of GFN131072, that is b^(2^17) + 1, being done elsewhere?

/JeppeSN


What I'm about to say is NOT authoritative; this predates my involvement at PrimeGrid. The following might be 100% wrong and just a figment of my imagination.

My understanding is that in exchange for being given permission to use the old GFN sieve program, we agreed to not search the N=17 GFN numbers and reserve that entire range to that program's author.

I'll see if I can get an authoritative answer.
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Discovered 7 mega primesEliminated 4 conjecture "k"sFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain Stage2019 Tour de Primes largest primeFound 4 primes in the 2019 Tour de PrimesFound 1 mega prime in the 2019 Tour de PrimesFound 1 prime in the 2019 Tour de Primes Mountain StageFound 1 prime in the 2020 Tour de Primes321 LLR Emerald: Earned 50,000,000 credits (75,847,579)Cullen LLR Emerald: Earned 50,000,000 credits (50,296,190)ESP LLR Emerald: Earned 50,000,000 credits (50,853,190)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (50,309,119)PPS LLR Double Bronze: Earned 100,000,000 credits (122,462,576)PSP LLR Emerald: Earned 50,000,000 credits (50,563,867)SoB LLR Double Bronze: Earned 100,000,000 credits (101,502,109)SR5 LLR Double Bronze: Earned 100,000,000 credits (101,883,529)SGS LLR Emerald: Earned 50,000,000 credits (53,154,727)TPS LLR (retired) Bronze: Earned 10,000 credits (43,033)TRP LLR Double Bronze: Earned 100,000,000 credits (100,338,924)Woodall LLR Emerald: Earned 50,000,000 credits (50,956,094)321 Sieve Double Bronze: Earned 100,000,000 credits (115,948,450)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,142,109)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,504,945)PPS Sieve Double Gold: Earned 500,000,000 credits (513,057,580)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,288,222)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,149,354)AP 26/27 Double Silver: Earned 200,000,000 credits (232,724,773)GFN Double Gold: Earned 500,000,000 credits (735,769,069)PSA Double Gold: Earned 500,000,000 credits (535,232,795)
Message 75837 - Posted: 23 Apr 2014 | 21:08:08 UTC
Last modified: 23 Apr 2014 | 21:11:06 UTC

Not to take this as 100% authoritative answer (my memory if not of most reliable) but to get idea since I was involved in early stages of GFN sieving and prime search.

As far as I can remember, David Underbakke has n=17 reserved and is doing search in this range for couple of years. So yes, it is being done elsewhere and PrimeGrid is doing other ranges.
David found first prime for n=17 back in 2009: 386892^131072+1.

David's AthGfn64 was used for sieving and was enhanced, adjusted (PrimeGrid factoring file requirements) and optimized when used in PG's sieving. Looking into my old e-mails, that was in 2009 as well (before n=17 prime). I've done most of the initial sieving on CPUs and low n, high b (up to b<100M) primality tests using CPUs as well (in pre-GPU era).
Later, sieving was ported to CUDA GPU and GFNSvCUDA was introduced. You can imagine it was a game changer.
And later on, GeneferCUDA for PRPNet and BOINC was introduced, a major game changer.
____________
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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 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 (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 Jade: Earned 10,000,000 credits (15,524,174)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 (2,276,330)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)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 (74,615,669)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 75838 - Posted: 23 Apr 2014 | 21:58:57 UTC - in response to Message 75837.

Not to take this as 100% authoritative answer (my memory if not of most reliable) but to get idea since I was involved in early stages of GFN sieving and prime search.

As far as I can remember, David Underbakke has n=17 reserved and is doing search in this range for couple of years. So yes, it is being done elsewhere and PrimeGrid is doing other ranges.
David found first prime for n=17 back in 2009: 386892^131072+1.

David's AthGfn64 was used for sieving and was enhanced, adjusted (PrimeGrid factoring file requirements) and optimized when used in PG's sieving. Looking into my old e-mails, that was in 2009 as well (before n=17 prime). I've done most of the initial sieving on CPUs and low n, high b (up to b<100M) primality tests using CPUs as well (in pre-GPU era).
Later, sieving was ported to CUDA GPU and GFNSvCUDA was introduced. You can imagine it was a game changer.
And later on, GeneferCUDA for PRPNet and BOINC was introduced, a major game changer.


GeneferCUDA came before GFNSvCUDA.
____________
My lucky number is 75898524288+1

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Joined: 15 Aug 05
Posts: 1884
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Discovered 7 mega primesEliminated 4 conjecture "k"sFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain Stage2019 Tour de Primes largest primeFound 4 primes in the 2019 Tour de PrimesFound 1 mega prime in the 2019 Tour de PrimesFound 1 prime in the 2019 Tour de Primes Mountain StageFound 1 prime in the 2020 Tour de Primes321 LLR Emerald: Earned 50,000,000 credits (75,847,579)Cullen LLR Emerald: Earned 50,000,000 credits (50,296,190)ESP LLR Emerald: Earned 50,000,000 credits (50,853,190)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (50,309,119)PPS LLR Double Bronze: Earned 100,000,000 credits (122,462,576)PSP LLR Emerald: Earned 50,000,000 credits (50,563,867)SoB LLR Double Bronze: Earned 100,000,000 credits (101,502,109)SR5 LLR Double Bronze: Earned 100,000,000 credits (101,883,529)SGS LLR Emerald: Earned 50,000,000 credits (53,154,727)TPS LLR (retired) Bronze: Earned 10,000 credits (43,033)TRP LLR Double Bronze: Earned 100,000,000 credits (100,338,924)Woodall LLR Emerald: Earned 50,000,000 credits (50,956,094)321 Sieve Double Bronze: Earned 100,000,000 credits (115,948,450)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,142,109)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,504,945)PPS Sieve Double Gold: Earned 500,000,000 credits (513,057,580)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,288,222)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,149,354)AP 26/27 Double Silver: Earned 200,000,000 credits (232,724,773)GFN Double Gold: Earned 500,000,000 credits (735,769,069)PSA Double Gold: Earned 500,000,000 credits (535,232,795)
Message 75845 - Posted: 24 Apr 2014 | 7:52:20 UTC - in response to Message 75838.

GeneferCUDA came before GFNSvCUDA.

Thanks for correction - my memory is really not that good...

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Found 1 prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,037,982)Cullen LLR Ruby: Earned 2,000,000 credits (2,015,907)ESP LLR Ruby: Earned 2,000,000 credits (2,232,391)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,088,705)PPS LLR Ruby: Earned 2,000,000 credits (2,962,062)PSP LLR Ruby: Earned 2,000,000 credits (2,539,644)SoB LLR Ruby: Earned 2,000,000 credits (2,122,524)SR5 LLR Ruby: Earned 2,000,000 credits (2,238,295)SGS LLR Ruby: Earned 2,000,000 credits (3,619,586)TRP LLR Ruby: Earned 2,000,000 credits (2,125,391)Woodall LLR Ruby: Earned 2,000,000 credits (2,037,732)321 Sieve Turquoise: Earned 5,000,000 credits (5,190,731)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (207,387)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,049,697)PPS Sieve Double Bronze: Earned 100,000,000 credits (100,422,123)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (3,227,972)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,021,659)AP 26/27 Sapphire: Earned 20,000,000 credits (20,651,644)GFN Emerald: Earned 50,000,000 credits (57,918,585)PSA Sapphire: Earned 20,000,000 credits (43,298,465)
Message 75846 - Posted: 24 Apr 2014 | 8:25:32 UTC

Reservations for GFN ranges until May 2004 appear to have been organised by Yves:
http://yves.gallot.pagesperso-orange.fr/primes/status.html

Anyone know where more recent reservations are listed for N=17 and N=21?

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Found 1 prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,037,982)Cullen LLR Ruby: Earned 2,000,000 credits (2,015,907)ESP LLR Ruby: Earned 2,000,000 credits (2,232,391)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,088,705)PPS LLR Ruby: Earned 2,000,000 credits (2,962,062)PSP LLR Ruby: Earned 2,000,000 credits (2,539,644)SoB LLR Ruby: Earned 2,000,000 credits (2,122,524)SR5 LLR Ruby: Earned 2,000,000 credits (2,238,295)SGS LLR Ruby: Earned 2,000,000 credits (3,619,586)TRP LLR Ruby: Earned 2,000,000 credits (2,125,391)Woodall LLR Ruby: Earned 2,000,000 credits (2,037,732)321 Sieve Turquoise: Earned 5,000,000 credits (5,190,731)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (207,387)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,049,697)PPS Sieve Double Bronze: Earned 100,000,000 credits (100,422,123)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (3,227,972)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,021,659)AP 26/27 Sapphire: Earned 20,000,000 credits (20,651,644)GFN Emerald: Earned 50,000,000 credits (57,918,585)PSA Sapphire: Earned 20,000,000 credits (43,298,465)
Message 75893 - Posted: 25 Apr 2014 | 6:55:16 UTC

On February 2013 Underbakke found 689186^131072+1
http://primes.utm.edu/primes/page.php?id=111122
Guess he hasn't been idle.

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Joined: 5 Apr 14
Posts: 1273
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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)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 Turquoise: Earned 5,000,000 credits (8,083,095)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 (104,534)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)AP 26/27 Bronze: Earned 10,000 credits (12,129)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 75895 - Posted: 25 Apr 2014 | 7:42:59 UTC - in response to Message 75893.
Last modified: 25 Apr 2014 | 7:43:35 UTC

On February 2013 Underbakke found 689186^131072+1
http://primes.utm.edu/primes/page.php?id=111122
Guess he hasn't been idle.


Two months later another GFN131072 prime was found by Simeon I. B. Ayeni, it seems. All GFN131072 primes in Caldwell's database can be found by typing 131072 in the first search field on http://primes.utm.edu/primes/search.php.

Thanks to all who answered.

Message boards : Project Staging Area : No port for GFN131072

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