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Message boards : News : Fermat Divisor Found!

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Scott BrownProject donor
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Joined: 17 Oct 05
Posts: 2223
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Credit: 9,245,021,094
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Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 28 mega primesEliminated 7 conjecture "k"sDiscovered 1 Sophie Germain pairDiscovered 2 Fermat divisors2012 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 Stage2019 Tour de Primes highest prime countFound 22 primes in the 2019 Tour de Primes2020 Tour de Primes highest prime scoreFound 21 primes in the 2020 Tour de PrimesFound 4 mega primes in the 2020 Tour de PrimesFound 8 primes in the 2021 Tour de PrimesFound 1 mega prime in the 2021 Tour de Primes321 LLR Double Silver: Earned 200,000,000 credits (201,403,028)Cullen LLR Double Silver: Earned 200,000,000 credits (201,409,561)ESP LLR Double Silver: Earned 200,000,000 credits (203,249,784)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (109,580,172)PPS LLR Double Gold: Earned 500,000,000 credits (715,885,948)PSP LLR Double Bronze: Earned 100,000,000 credits (126,982,721)SoB LLR Double Bronze: Earned 100,000,000 credits (135,747,083)SR5 LLR Double Silver: Earned 200,000,000 credits (214,437,634)SGS LLR Double Silver: Earned 200,000,000 credits (201,595,744)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Silver: Earned 200,000,000 credits (201,215,056)Woodall LLR Double Bronze: Earned 100,000,000 credits (101,447,725)321 Sieve (suspended) Double Silver: Earned 200,000,000 credits (235,451,253)Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (83,794,448)Generalized Cullen/Woodall Sieve (suspended) Double Silver: Earned 200,000,000 credits (285,139,652)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,728,939,994)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 Silver: Earned 200,000,000 credits (385,720,907)WW Double Silver: Earned 200,000,000 credits (419,828,000)GFN Double Ruby: Earned 2,000,000,000 credits (2,028,999,916)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 148085 - Posted: 1 Feb 2021 | 3:17:46 UTC
Last modified: 3 Feb 2021 | 4:47:00 UTC

On 14 January 2021, 18:15:44 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

27*2^7963247+1 Divides F(7963245)

The prime is 2,397,178 digits long and will enter Chris Caldwell's The Largest Known Primes Database ranked 74th overall. This is ranked 2nd for prime Fermat divisors, and it is also ranked 2nd for “weighted” prime Fermat divisors.

The discovery was made by Tom Greer (tng) of the United States using an Intel(R) Xeon(R) Gold 6140 CPU @ 2.30GHz with 1GB RAM, running Linux Ubuntu. This computer took about 3 hours, 58 minutes to complete the primality test using LLR2. Tom Greer is a member of the Antarctic Crunchers team.

For more details, please see the official announcement.

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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 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 Jade: Earned 10,000,000 credits (11,318,892)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 (111,958)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) 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)WW Turquoise: Earned 5,000,000 credits (6,256,000)GFN Amethyst: Earned 1,000,000 credits (1,707,013)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 148199 - Posted: 2 Feb 2021 | 16:40:11 UTC

See Top Twenty for Fermat divisors. /JeppeSN

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numbermaniac
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321 LLR Silver: Earned 100,000 credits (119,884)PPS LLR Amethyst: Earned 1,000,000 credits (1,363,857)SR5 LLR Gold: Earned 500,000 credits (508,863)SGS LLR Amethyst: Earned 1,000,000 credits (1,146,996)TRP LLR Gold: Earned 500,000 credits (502,390)321 Sieve (suspended) Gold: Earned 500,000 credits (512,303)Generalized Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (503,510)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 (161,720)GFN Gold: Earned 500,000 credits (500,739)PSA Silver: Earned 100,000 credits (141,661)
Message 148226 - Posted: 3 Feb 2021 | 4:09:12 UTC - in response to Message 148085.

27*27963247+1 Divides F(7963245)

A power symbol appears to be missing here. I think it should be 27*2^7963247+1.
____________
2 PPSE & 3 SGS primes

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Scott BrownProject donor
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Joined: 17 Oct 05
Posts: 2223
ID: 1178
Credit: 9,245,021,094
RAC: 4,011,050
Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 28 mega primesEliminated 7 conjecture "k"sDiscovered 1 Sophie Germain pairDiscovered 2 Fermat divisors2012 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 Stage2019 Tour de Primes highest prime countFound 22 primes in the 2019 Tour de Primes2020 Tour de Primes highest prime scoreFound 21 primes in the 2020 Tour de PrimesFound 4 mega primes in the 2020 Tour de PrimesFound 8 primes in the 2021 Tour de PrimesFound 1 mega prime in the 2021 Tour de Primes321 LLR Double Silver: Earned 200,000,000 credits (201,403,028)Cullen LLR Double Silver: Earned 200,000,000 credits (201,409,561)ESP LLR Double Silver: Earned 200,000,000 credits (203,249,784)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (109,580,172)PPS LLR Double Gold: Earned 500,000,000 credits (715,885,948)PSP LLR Double Bronze: Earned 100,000,000 credits (126,982,721)SoB LLR Double Bronze: Earned 100,000,000 credits (135,747,083)SR5 LLR Double Silver: Earned 200,000,000 credits (214,437,634)SGS LLR Double Silver: Earned 200,000,000 credits (201,595,744)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Silver: Earned 200,000,000 credits (201,215,056)Woodall LLR Double Bronze: Earned 100,000,000 credits (101,447,725)321 Sieve (suspended) Double Silver: Earned 200,000,000 credits (235,451,253)Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (83,794,448)Generalized Cullen/Woodall Sieve (suspended) Double Silver: Earned 200,000,000 credits (285,139,652)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,728,939,994)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 Silver: Earned 200,000,000 credits (385,720,907)WW Double Silver: Earned 200,000,000 credits (419,828,000)GFN Double Ruby: Earned 2,000,000,000 credits (2,028,999,916)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 148227 - Posted: 3 Feb 2021 | 4:47:25 UTC - in response to Message 148226.

27*27963247+1 Divides F(7963245)

A power symbol appears to be missing here. I think it should be 27*2^7963247+1.


Fixed.

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