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Message boards : News : GFN-262144 Mega Prime!

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Van ZimmermanProject donor
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Joined: 30 Aug 12
Posts: 1939
ID: 168418
Credit: 5,420,425,602
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Discovered the World's First GFN-20 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (20,089,185)Cullen LLR Sapphire: Earned 20,000,000 credits (21,197,588)ESP LLR Sapphire: Earned 20,000,000 credits (20,089,407)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,037,992)PPS LLR Sapphire: Earned 20,000,000 credits (21,128,432)PSP LLR Sapphire: Earned 20,000,000 credits (20,117,197)SoB LLR Sapphire: Earned 20,000,000 credits (21,208,789)SR5 LLR Sapphire: Earned 20,000,000 credits (20,278,667)SGS LLR Sapphire: Earned 20,000,000 credits (20,055,153)TRP LLR Sapphire: Earned 20,000,000 credits (20,619,871)Woodall LLR Sapphire: Earned 20,000,000 credits (20,376,227)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,371,066)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,051,222,753)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,189,695)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,102,079)AP 26/27 Emerald: Earned 50,000,000 credits (60,248,786)GFN Double Ruby: Earned 2,000,000,000 credits (3,847,955,445)PSA Double Bronze: Earned 100,000,000 credits (195,284,871)
Message 97738 - Posted: 16 Aug 2016 | 16:28:36 UTC

On 10 August 2016, 19:21:20 UTC, PrimeGrid’s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

1828858^262144+1

The prime is 1,641,593 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 5th for Generalized Fermat primes and 43rd overall.

The discovery was made by Brook Harste (brinktastee) of the United States using an NVIDIA GeForce GTX 980 Ti in an Intel(R) Core(TM) i7-3820 CPU @ 3.60GHz with 16GB RAM, running Microsoft Windows 10 Professional. This GPU took about 17 minutes to probable prime (PRP) test with GeneferOCL4. Brook is a member of the Aggie The Pew team.

The prime was verified on 10 August 2016, 21:06:33 UTC by Frank Matillek (boss) of Germany using an NVIDIA GeForce GTX 660 Ti in an Intel(R) Core(TM)2 Quad CPU Q9400@ 2.66GHz with 4GB RAM, running Microsoft Windows 10 Professional. This GPU took about 39 minutes to probable prime (PRP) test with GeneferOCL4. Frank is a member of the SETI.Germany team.

For more details, please see the official announcement.

numbermaniac
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Joined: 28 Mar 14
Posts: 92
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Credit: 3,243,565
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321 LLR Bronze: Earned 10,000 credits (17,273)PPS LLR Silver: Earned 100,000 credits (443,582)SR5 LLR Silver: Earned 100,000 credits (105,157)SGS LLR Silver: Earned 100,000 credits (100,862)TRP LLR Silver: Earned 100,000 credits (105,612)Generalized Cullen/Woodall Sieve Silver: Earned 100,000 credits (211,357)PPS Sieve Amethyst: Earned 1,000,000 credits (1,577,628)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (34,269)TRP Sieve (suspended) Bronze: Earned 10,000 credits (32,679)AP 26/27 Silver: Earned 100,000 credits (113,204)GFN Silver: Earned 100,000 credits (366,072)PSA Silver: Earned 100,000 credits (127,825)
Message 97754 - Posted: 17 Aug 2016 | 1:15:37 UTC - in response to Message 97738.

"This GPU took about 17 minutes to probable prime (PRP) test with GeneferOCL4."

Wait, was it only a PRP test?
____________
6603*2^1411654+1 — 424955 digit PPSE (DC)

Profile Rafael
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Joined: 22 Oct 14
Posts: 825
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Credit: 222,877,307
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321 LLR Ruby: Earned 2,000,000 credits (4,586,111)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,420,782)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,527,346)SGS LLR Ruby: Earned 2,000,000 credits (4,288,749)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,259,337)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)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 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,935,607)PSA Double Bronze: Earned 100,000,000 credits (133,979,980)
Message 97755 - Posted: 17 Aug 2016 | 1:20:03 UTC - in response to Message 97754.

"This GPU took about 17 minutes to probable prime (PRP) test with GeneferOCL4."

Wait, was it only a PRP test?

Genefer is only a PRP test. It's a VERY good one, almost every single probable prime is an actual prime. But it's not 100% confirmed, so another much slower test is done afterwards to confirm that the number is, in fact, a prime.

JimBProject donor
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Joined: 4 Aug 11
Posts: 785
ID: 107307
Credit: 668,167,830
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321 LLR Ruby: Earned 2,000,000 credits (2,054,472)Cullen LLR Ruby: Earned 2,000,000 credits (2,500,846)ESP LLR Ruby: Earned 2,000,000 credits (3,823,612)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,157,923)PPS LLR Ruby: Earned 2,000,000 credits (2,100,471)PSP LLR Turquoise: Earned 5,000,000 credits (5,013,650)SoB LLR Sapphire: Earned 20,000,000 credits (24,504,940)SR5 LLR Jade: Earned 10,000,000 credits (10,153,648)SGS LLR Ruby: Earned 2,000,000 credits (2,000,775)TRP LLR Ruby: Earned 2,000,000 credits (2,105,945)Woodall LLR Ruby: Earned 2,000,000 credits (2,445,894)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,002,919)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (10,106,760)PPS Sieve Emerald: Earned 50,000,000 credits (50,809,179)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,341,676)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,804)AP 26/27 Jade: Earned 10,000,000 credits (10,592,660)GFN Sapphire: Earned 20,000,000 credits (29,095,001)PSA Double Gold: Earned 500,000,000 credits (500,286,654)
Message 97757 - Posted: 17 Aug 2016 | 1:55:44 UTC

Each and every GFN PRP is then tested using LLR to confirm primality. You can see how many GFN Primality tests are in progress on the Server Status page.

numbermaniac
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Joined: 28 Mar 14
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Credit: 3,243,565
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321 LLR Bronze: Earned 10,000 credits (17,273)PPS LLR Silver: Earned 100,000 credits (443,582)SR5 LLR Silver: Earned 100,000 credits (105,157)SGS LLR Silver: Earned 100,000 credits (100,862)TRP LLR Silver: Earned 100,000 credits (105,612)Generalized Cullen/Woodall Sieve Silver: Earned 100,000 credits (211,357)PPS Sieve Amethyst: Earned 1,000,000 credits (1,577,628)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (34,269)TRP Sieve (suspended) Bronze: Earned 10,000 credits (32,679)AP 26/27 Silver: Earned 100,000 credits (113,204)GFN Silver: Earned 100,000 credits (366,072)PSA Silver: Earned 100,000 credits (127,825)
Message 97787 - Posted: 18 Aug 2016 | 7:12:07 UTC - in response to Message 97757.
Last modified: 18 Aug 2016 | 7:12:15 UTC

Thanks!

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Message boards : News : GFN-262144 Mega Prime!

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