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Message boards : News : World Record GFN Prime!

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Scott BrownProject donor
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Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 12 mega primesEliminated 6 conjecture "k"sDiscovered 1 Sophie Germain pairDiscovered 1 Fermat divisor2012 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 Stage321 LLR Double Bronze: Earned 100,000,000 credits (100,829,118)Cullen LLR Double Bronze: Earned 100,000,000 credits (103,719,533)ESP LLR Double Bronze: Earned 100,000,000 credits (103,603,483)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (102,075,655)PPS LLR Double Silver: Earned 200,000,000 credits (303,052,366)PSP LLR Emerald: Earned 50,000,000 credits (80,100,999)SoB LLR Double Bronze: Earned 100,000,000 credits (116,841,417)SR5 LLR Double Bronze: Earned 100,000,000 credits (129,032,046)SGS LLR Double Bronze: Earned 100,000,000 credits (143,876,598)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Bronze: Earned 100,000,000 credits (109,149,031)Woodall LLR Double Bronze: Earned 100,000,000 credits (100,703,421)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,322,150)Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (83,794,448)Generalized Cullen/Woodall Sieve Double Silver: Earned 200,000,000 credits (234,450,029)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,105,662,320)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 Bronze: Earned 100,000,000 credits (105,654,211)GFN Double Gold: Earned 500,000,000 credits (875,652,118)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 55970 - Posted: 28 Jun 2012 | 15:03:23 UTC

On 15 Jun 2012, 9:27:36 UTC, PrimeGrid’s Generalized Fermat Prime Search found the largest known Generalized Fermat mega prime: 341112^524288+1

The prime is 2,900,832 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Generalized Fermat primes and 11th overall.

The discovery was made by Peyton Hayslette (Peyton Hayslette) of the United States using an NVIDIA GeForce GTX 560 Ti in an Intel Core i5-2500K @ 3.30GHz system with 16GB RAM, running 64 bit Windows 7 Ultimate. This GPU took 3 hours 48 minutes to probable prime (PRP) test with GeneferCUDA. Peyton is a member of the North Carolina team.

The prime was verified by Rob Bosma (Cow_tipping) of the Netherlands using an NVIDIA GeForce GTX 580 in an Intel Core i7 920 @ 2.67GHz with 16GB RAM, running 64 bit Windows 7 Ultimate. This GPU took 2 hours 26 minutes to probable prime (PRP) test with GeneferCUDA. Rob is a member of the Dutch Power Cows team.

For more details, please see the official announcement.

Iain BethuneProject donor
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Credit: 189,436,196
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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (11,595,482)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 55983 - Posted: 28 Jun 2012 | 20:03:43 UTC - in response to Message 55970.

Great result! And congratulations to the cows on their double-check
____________
Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

Profile [DPC]Division_Brabant~Cow_tippingProject donor
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321 LLR Amethyst: Earned 1,000,000 credits (1,008,344)Cullen LLR Gold: Earned 500,000 credits (735,295)ESP LLR Gold: Earned 500,000 credits (953,883)PPS LLR Amethyst: Earned 1,000,000 credits (1,549,531)PSP LLR Gold: Earned 500,000 credits (589,676)SoB LLR Gold: Earned 500,000 credits (570,898)SR5 LLR Gold: Earned 500,000 credits (648,343)SGS LLR Gold: Earned 500,000 credits (730,736)TRP LLR Gold: Earned 500,000 credits (644,979)Woodall LLR Gold: Earned 500,000 credits (507,290)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,162,691)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,599,079)PPS Sieve Emerald: Earned 50,000,000 credits (53,470,802)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (700,585)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,013,283)AP 26/27 Ruby: Earned 2,000,000 credits (2,830,100)GFN Turquoise: Earned 5,000,000 credits (8,199,622)PSA Ruby: Earned 2,000,000 credits (4,520,072)
Message 55990 - Posted: 28 Jun 2012 | 22:45:34 UTC - in response to Message 55983.

Thanks!

It was my pleasure. :)

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 Primes321 LLR Amethyst: Earned 1,000,000 credits (1,520,260)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,004,898)PPS LLR Ruby: Earned 2,000,000 credits (2,082,200)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (24,559,433)SR5 LLR Turquoise: Earned 5,000,000 credits (7,216,756)SGS LLR Ruby: Earned 2,000,000 credits (2,010,466)TRP LLR Ruby: Earned 2,000,000 credits (2,433,520)Woodall LLR Amethyst: Earned 1,000,000 credits (1,957,155)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,890,652)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 Turquoise: Earned 5,000,000 credits (6,499,818)GFN Emerald: Earned 50,000,000 credits (52,696,314)PSA Jade: Earned 10,000,000 credits (10,038,118)
Message 55993 - Posted: 29 Jun 2012 | 0:31:53 UTC

From #14 to #11 (or #2 to #1):

CONGRATULATIONS!!!

I've been wondering how it would feel when someone eventually broke my record. Now I know. It feels great! You broke the record by about 400,000 digits, too. Fantastic!


____________
Please do not PM me with support questions. They will usually go unanswered. Ask on the forums instead. Thank you!

My lucky number is 75898^524288+1

Profile Peyton Hayslette
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Discovered 1 mega prime321 LLR Silver: Earned 100,000 credits (386,952)Cullen LLR Bronze: Earned 10,000 credits (63,047)PPS LLR Ruby: Earned 2,000,000 credits (2,461,827)PSP LLR Silver: Earned 100,000 credits (139,246)SoB LLR Bronze: Earned 10,000 credits (69,015)SR5 LLR Silver: Earned 100,000 credits (419,243)SGS LLR Bronze: Earned 10,000 credits (24,127)TRP LLR Silver: Earned 100,000 credits (217,407)Woodall LLR Bronze: Earned 10,000 credits (72,890)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (375,765)PPS Sieve Sapphire: Earned 20,000,000 credits (42,101,643)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,203,005)GFN Sapphire: Earned 20,000,000 credits (31,167,378)
Message 55996 - Posted: 29 Jun 2012 | 3:55:46 UTC

This is a beyond wonderful result! Thank you Cow_tipping for the verification!

Profile [DPC]Division_Brabant~Cow_tippingProject donor
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321 LLR Amethyst: Earned 1,000,000 credits (1,008,344)Cullen LLR Gold: Earned 500,000 credits (735,295)ESP LLR Gold: Earned 500,000 credits (953,883)PPS LLR Amethyst: Earned 1,000,000 credits (1,549,531)PSP LLR Gold: Earned 500,000 credits (589,676)SoB LLR Gold: Earned 500,000 credits (570,898)SR5 LLR Gold: Earned 500,000 credits (648,343)SGS LLR Gold: Earned 500,000 credits (730,736)TRP LLR Gold: Earned 500,000 credits (644,979)Woodall LLR Gold: Earned 500,000 credits (507,290)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,162,691)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,599,079)PPS Sieve Emerald: Earned 50,000,000 credits (53,470,802)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (700,585)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,013,283)AP 26/27 Ruby: Earned 2,000,000 credits (2,830,100)GFN Turquoise: Earned 5,000,000 credits (8,199,622)PSA Ruby: Earned 2,000,000 credits (4,520,072)
Message 56000 - Posted: 29 Jun 2012 | 5:50:07 UTC

And you Peyton for the opportunity. :D

Profile Adrian SchoriProject donor
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Discovered 1 mega primeEliminated 1 conjecture "k"321 LLR Silver: Earned 100,000 credits (102,736)Cullen LLR Silver: Earned 100,000 credits (104,922)ESP LLR Ruby: Earned 2,000,000 credits (3,178,071)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (102,961)PPS LLR Ruby: Earned 2,000,000 credits (4,134,868)PSP LLR Gold: Earned 500,000 credits (529,851)SoB LLR Silver: Earned 100,000 credits (107,753)SR5 LLR Ruby: Earned 2,000,000 credits (2,683,628)SGS LLR Ruby: Earned 2,000,000 credits (2,010,889)TRP LLR Amethyst: Earned 1,000,000 credits (1,120,723)Woodall LLR Silver: Earned 100,000 credits (102,666)321 Sieve (suspended) Silver: Earned 100,000 credits (202,190)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (202,834)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,021,104)PPS Sieve Double Silver: Earned 200,000,000 credits (318,257,349)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,032,063)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,343,795)AP 26/27 Bronze: Earned 10,000 credits (10,565)GFN Jade: Earned 10,000,000 credits (12,268,937)PSA Turquoise: Earned 5,000,000 credits (6,030,023)
Message 57050 - Posted: 10 Aug 2012 | 10:20:29 UTC

It looks like a new World Record GFN Prime is found! The subproject status page shows 3 primes now for n=524288.

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 Primes321 LLR Amethyst: Earned 1,000,000 credits (1,520,260)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,004,898)PPS LLR Ruby: Earned 2,000,000 credits (2,082,200)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (24,559,433)SR5 LLR Turquoise: Earned 5,000,000 credits (7,216,756)SGS LLR Ruby: Earned 2,000,000 credits (2,010,466)TRP LLR Ruby: Earned 2,000,000 credits (2,433,520)Woodall LLR Amethyst: Earned 1,000,000 credits (1,957,155)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,890,652)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 Turquoise: Earned 5,000,000 credits (6,499,818)GFN Emerald: Earned 50,000,000 credits (52,696,314)PSA Jade: Earned 10,000,000 credits (10,038,118)
Message 57051 - Posted: 10 Aug 2012 | 11:48:54 UTC - in response to Message 57050.
Last modified: 10 Aug 2012 | 12:24:06 UTC

It looks like a new World Record GFN Prime is found! The subproject status page shows 3 primes now for n=524288.


Yes, it looks like yet another GFN524288 prime has been found!

EDIT: At this point, it's still only a probable prime. Further testing (with LLR or PFGW) will be done at PrimeGrid to prove the number is prime. That will take a few days.
____________
Please do not PM me with support questions. They will usually go unanswered. Ask on the forums instead. Thank you!

My lucky number is 75898^524288+1

Iain BethuneProject donor
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Joined: 28 Jan 09
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Credit: 189,436,196
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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (11,595,482)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 57068 - Posted: 11 Aug 2012 | 4:46:12 UTC - in response to Message 57051.

Wow - we really have struck a rich seam of GFNs at the moment.
____________
Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

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