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Message boards : News : World Record Fermat Divisor Found!

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Scott BrownProject donor
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Joined: 17 Oct 05
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Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 23 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 PrimesFound 10 primes in the 2020 Tour de PrimesFound 4 mega primes in the 2020 Tour de Primes321 LLR Double Bronze: Earned 100,000,000 credits (110,931,288)Cullen LLR Double Bronze: Earned 100,000,000 credits (103,870,990)ESP LLR Double Bronze: Earned 100,000,000 credits (137,499,413)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (108,461,080)PPS LLR Double Gold: Earned 500,000,000 credits (503,473,937)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 (203,047,213)SGS LLR Double Bronze: Earned 100,000,000 credits (162,580,085)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Bronze: Earned 100,000,000 credits (121,443,822)Woodall LLR Double Bronze: Earned 100,000,000 credits (101,447,725)321 Sieve Double Silver: Earned 200,000,000 credits (210,818,608)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 (2,142,605,109)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 (221,761,085)GFN Double Amethyst: Earned 1,000,000,000 credits (1,519,528,264)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 136683 - Posted: 25 Jan 2020 | 16:38:28 UTC

On 22 January 2020, 15:00:58 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:

13*2^5523860+1 Divides F(5523858)

The prime is 1,662,849 digits long and will enter Chris Caldwell's The Largest Known Primes Database ranked 115th overall. This is a world record for prime Fermat divisors, and it is also ranked 4th for “weighted” prime Fermat divisors.

The discovery was made by Scott Brown (Scott Brown) of the United States using an Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz with 16GB RAM, running Microsoft Windows 10 Core x64 Edition. This computer took about 39 minutes to complete the primality test using multithreaded LLR. Scott is a member of the Aggie The Pew team.

The prime was verified on 22 January 2020, 15:11:39 UTC by Stefan Larsson (288larsson) of Sweden using an Intel(R) Core(TM) i9-9900K CPU @ 3.60GHz with 8GB RAM, running Microsoft Windows 10 Core x64 Edition. This computer took about 46 minutes to complete the primality test using multithreaded LLR. Stefan is a member of the Sicituradastra. team.

For more details, please see the official announcement.

Profile Rick Reynolds
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Credit: 4,227,626,809
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Discovered 2 mega primesFound 2 primes in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de PrimesFound 8 primes in the 2020 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,076,824)Cullen LLR Turquoise: Earned 5,000,000 credits (5,287,148)ESP LLR Turquoise: Earned 5,000,000 credits (5,174,327)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,028,260)PPS LLR Sapphire: Earned 20,000,000 credits (30,249,955)PSP LLR Turquoise: Earned 5,000,000 credits (5,151,448)SoB LLR Turquoise: Earned 5,000,000 credits (5,014,268)SR5 LLR Jade: Earned 10,000,000 credits (11,169,992)SGS LLR Turquoise: Earned 5,000,000 credits (6,176,051)TRP LLR Turquoise: Earned 5,000,000 credits (6,568,836)Woodall LLR Turquoise: Earned 5,000,000 credits (5,036,418)321 Sieve Emerald: Earned 50,000,000 credits (65,583,075)Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (127,922,665)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (30,984,158)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,119,419,626)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,134,964)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,013,696)AP 26/27 Double Silver: Earned 200,000,000 credits (202,699,848)GFN Double Silver: Earned 200,000,000 credits (205,305,517)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 136684 - Posted: 25 Jan 2020 | 17:05:42 UTC

Congrats on this major find!

Cheers Rick

Anthony Ayiomamitis
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Credit: 683,120,055
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Found 2 primes in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,035,398)Cullen LLR Ruby: Earned 2,000,000 credits (2,047,548)ESP LLR Ruby: Earned 2,000,000 credits (2,033,639)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,014,465)PPS LLR Jade: Earned 10,000,000 credits (14,645,600)PSP LLR Ruby: Earned 2,000,000 credits (2,107,810)SoB LLR Ruby: Earned 2,000,000 credits (3,832,186)SR5 LLR Ruby: Earned 2,000,000 credits (2,023,400)SGS LLR Ruby: Earned 2,000,000 credits (2,040,979)TRP LLR Ruby: Earned 2,000,000 credits (2,045,113)Woodall LLR Ruby: Earned 2,000,000 credits (2,097,219)321 Sieve Double Bronze: Earned 100,000,000 credits (102,084,381)Generalized Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (100,500,349)PPS Sieve Double Silver: Earned 200,000,000 credits (243,349,119)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (14,516,062)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,329,228)AP 26/27 Sapphire: Earned 20,000,000 credits (20,303,946)GFN Sapphire: Earned 20,000,000 credits (28,611,561)PSA Double Bronze: Earned 100,000,000 credits (116,531,700)
Message 136690 - Posted: 25 Jan 2020 | 18:00:56 UTC - in response to Message 136684.

Indeed congrats!

Profile Eudy SilvaProject donor
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Posts: 1058
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Credit: 140,883,470
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Found 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,012,503)Cullen LLR Amethyst: Earned 1,000,000 credits (1,011,118)ESP LLR Amethyst: Earned 1,000,000 credits (1,022,307)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,004,746)PPS LLR Turquoise: Earned 5,000,000 credits (8,569,995)PSP LLR Amethyst: Earned 1,000,000 credits (1,123,300)SoB LLR Ruby: Earned 2,000,000 credits (2,113,239)SR5 LLR Ruby: Earned 2,000,000 credits (2,784,784)SGS LLR Amethyst: Earned 1,000,000 credits (1,162,202)TRP LLR Amethyst: Earned 1,000,000 credits (1,309,179)Woodall LLR Amethyst: Earned 1,000,000 credits (1,001,901)321 Sieve Amethyst: Earned 1,000,000 credits (1,119,749)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,005,331)PPS Sieve Emerald: Earned 50,000,000 credits (63,543,350)AP 26/27 Sapphire: Earned 20,000,000 credits (22,333,532)GFN Sapphire: Earned 20,000,000 credits (28,710,887)PSA Ruby: Earned 2,000,000 credits (2,059,222)
Message 136691 - Posted: 25 Jan 2020 | 18:27:42 UTC

Fantastic !
Congrats to both finder and DC !
____________
"Accidit in puncto, quod non contingit in anno."
Something that does not occur in a year may, perchance, happen in a moment.

Profile DaveProject donor
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Found 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,223,516)Cullen LLR Turquoise: Earned 5,000,000 credits (5,005,909)ESP LLR Turquoise: Earned 5,000,000 credits (5,303,526)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,202,873)PPS LLR Turquoise: Earned 5,000,000 credits (5,740,139)PSP LLR Turquoise: Earned 5,000,000 credits (5,513,728)SoB LLR Turquoise: Earned 5,000,000 credits (8,851,996)SR5 LLR Turquoise: Earned 5,000,000 credits (5,000,482)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,035)TRP LLR Turquoise: Earned 5,000,000 credits (5,008,328)Woodall LLR Ruby: Earned 2,000,000 credits (4,876,085)321 Sieve Ruby: Earned 2,000,000 credits (4,137,460)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (268,250)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,502)PPS Sieve Double Silver: Earned 200,000,000 credits (300,002,145)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,133)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,970)AP 26/27 Double Bronze: Earned 100,000,000 credits (125,333,000)GFN Double Bronze: Earned 100,000,000 credits (127,925,832)PSA Double Silver: Earned 200,000,000 credits (200,000,001)
Message 136693 - Posted: 25 Jan 2020 | 19:53:09 UTC
Last modified: 25 Jan 2020 | 19:53:29 UTC

Fantastic!

Profile Eudy SilvaProject donor
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Joined: 26 Aug 17
Posts: 1058
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Credit: 140,883,470
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Found 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,012,503)Cullen LLR Amethyst: Earned 1,000,000 credits (1,011,118)ESP LLR Amethyst: Earned 1,000,000 credits (1,022,307)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,004,746)PPS LLR Turquoise: Earned 5,000,000 credits (8,569,995)PSP LLR Amethyst: Earned 1,000,000 credits (1,123,300)SoB LLR Ruby: Earned 2,000,000 credits (2,113,239)SR5 LLR Ruby: Earned 2,000,000 credits (2,784,784)SGS LLR Amethyst: Earned 1,000,000 credits (1,162,202)TRP LLR Amethyst: Earned 1,000,000 credits (1,309,179)Woodall LLR Amethyst: Earned 1,000,000 credits (1,001,901)321 Sieve Amethyst: Earned 1,000,000 credits (1,119,749)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,005,331)PPS Sieve Emerald: Earned 50,000,000 credits (63,543,350)AP 26/27 Sapphire: Earned 20,000,000 credits (22,333,532)GFN Sapphire: Earned 20,000,000 credits (28,710,887)PSA Ruby: Earned 2,000,000 credits (2,059,222)
Message 136714 - Posted: 26 Jan 2020 | 19:29:28 UTC - in response to Message 136693.

Fantastic!

:)
____________
"Accidit in puncto, quod non contingit in anno."
Something that does not occur in a year may, perchance, happen in a moment.

Michael Millerick
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Credit: 161,386,338
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Found 2 primes in the 2020 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,063,954)Cullen LLR Amethyst: Earned 1,000,000 credits (1,041,705)ESP LLR Turquoise: Earned 5,000,000 credits (5,192,769)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,024,258)PPS LLR Turquoise: Earned 5,000,000 credits (9,423,566)PSP LLR Ruby: Earned 2,000,000 credits (2,012,651)SoB LLR Amethyst: Earned 1,000,000 credits (1,064,898)SR5 LLR Amethyst: Earned 1,000,000 credits (1,090,558)SGS LLR Amethyst: Earned 1,000,000 credits (1,119,360)TRP LLR Amethyst: Earned 1,000,000 credits (1,026,807)Woodall LLR Amethyst: Earned 1,000,000 credits (1,042,977)321 Sieve Turquoise: Earned 5,000,000 credits (5,235,253)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,911,344)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,077,092)PPS Sieve Emerald: Earned 50,000,000 credits (50,200,870)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,034,014)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,774)AP 26/27 Turquoise: Earned 5,000,000 credits (5,042,439)GFN Jade: Earned 10,000,000 credits (12,850,668)PSA Emerald: Earned 50,000,000 credits (52,865,231)
Message 136724 - Posted: 26 Jan 2020 | 22:50:38 UTC

Glad to see that the subproject turned out one divisor. Hopefully we get another before it is all done.
____________

Profile Jordan Romaidis
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Credit: 602,016,076
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Discovered 3 mega primesEliminated 1 conjecture "k"Discovered 1 AP26Found 1 prime in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (4,574,478)Cullen LLR Ruby: Earned 2,000,000 credits (2,080,460)ESP LLR Gold: Earned 500,000 credits (502,325)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,000,054)PPS LLR Emerald: Earned 50,000,000 credits (78,892,223)PSP LLR Bronze: Earned 10,000 credits (23,710)SoB LLR Sapphire: Earned 20,000,000 credits (39,985,666)SR5 LLR Jade: Earned 10,000,000 credits (16,535,456)SGS LLR Jade: Earned 10,000,000 credits (11,124,065)TRP LLR Gold: Earned 500,000 credits (525,711)Woodall LLR Jade: Earned 10,000,000 credits (15,028,246)321 Sieve Amethyst: Earned 1,000,000 credits (1,062,420)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,606,749)PPS Sieve Sapphire: Earned 20,000,000 credits (23,296,981)AP 26/27 Double Bronze: Earned 100,000,000 credits (197,359,045)GFN Double Bronze: Earned 100,000,000 credits (131,553,599)PSA Emerald: Earned 50,000,000 credits (52,891,089)
Message 136727 - Posted: 26 Jan 2020 | 23:12:11 UTC

Congratulations!

Profile RobishProject donor
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Discovered the World's First AP27!!!Discovered 8 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,622,167)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,404,450)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (36,442,626)PSP LLR Turquoise: Earned 5,000,000 credits (7,758,266)SoB LLR Sapphire: Earned 20,000,000 credits (34,998,007)SR5 LLR Turquoise: Earned 5,000,000 credits (6,425,150)SGS LLR Turquoise: Earned 5,000,000 credits (5,083,746)TRP LLR Jade: Earned 10,000,000 credits (12,167,296)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (6,582,489)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (781,937,160)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Emerald: Earned 50,000,000 credits (78,636,350)GFN Double Ruby: Earned 2,000,000,000 credits (2,556,725,455)
Message 136728 - Posted: 26 Jan 2020 | 23:31:03 UTC

Congrats again Scott. Awesome find!
____________
My lucky number 10590941048576+1

Scott BrownProject donor
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Joined: 17 Oct 05
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Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 23 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 PrimesFound 10 primes in the 2020 Tour de PrimesFound 4 mega primes in the 2020 Tour de Primes321 LLR Double Bronze: Earned 100,000,000 credits (110,931,288)Cullen LLR Double Bronze: Earned 100,000,000 credits (103,870,990)ESP LLR Double Bronze: Earned 100,000,000 credits (137,499,413)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (108,461,080)PPS LLR Double Gold: Earned 500,000,000 credits (503,473,937)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 (203,047,213)SGS LLR Double Bronze: Earned 100,000,000 credits (162,580,085)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Bronze: Earned 100,000,000 credits (121,443,822)Woodall LLR Double Bronze: Earned 100,000,000 credits (101,447,725)321 Sieve Double Silver: Earned 200,000,000 credits (210,818,608)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 (2,142,605,109)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 (221,761,085)GFN Double Amethyst: Earned 1,000,000,000 credits (1,519,528,264)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 136730 - Posted: 27 Jan 2020 | 1:57:02 UTC


Thanks everyone! I am really excited about the find, not just for myself, but for PrimeGrid as well.

Depending on how people decide to allocate there resources, I think DIV could yield a prime or two during TDP (maybe even another divisor) and be a factor in a couple of the jerseys this year!

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Message boards : News : World Record Fermat Divisor Found!

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