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Message boards : News : 321 Mega Prime!

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Scott BrownProject donor
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Joined: 17 Oct 05
Posts: 2324
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Credit: 14,884,028,369
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Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 55 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 PrimesFound 21 primes in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de PrimesFound 2 primes in the 2022 Tour de Primes Mountain Stage321 LLR Double Silver: Earned 200,000,000 credits (222,511,049)Cullen LLR Double Silver: Earned 200,000,000 credits (201,409,561)ESP LLR Double Silver: Earned 200,000,000 credits (214,825,147)Generalized Cullen/Woodall LLR Double Silver: Earned 200,000,000 credits (204,939,647)PPS LLR Double Amethyst: Earned 1,000,000,000 credits (1,000,848,149)PSP LLR Double Silver: Earned 200,000,000 credits (201,749,918)SoB LLR Double Silver: Earned 200,000,000 credits (207,028,068)SR5 LLR Double Silver: Earned 200,000,000 credits (245,826,868)SGS LLR Double Silver: Earned 200,000,000 credits (217,420,674)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Silver: Earned 200,000,000 credits (225,140,229)Woodall LLR Double Silver: Earned 200,000,000 credits (201,651,344)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 (2,895,915,737)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 Gold: Earned 500,000,000 credits (512,622,591)GFN Double Ruby: Earned 2,000,000,000 credits (2,497,975,933)WW Double Ruby: Earned 2,000,000,000 credits (4,565,732,000)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 148119 - Posted: 1 Feb 2021 | 13:49:02 UTC

On 20 January 2021, 11:58:27 UTC, PrimeGrid's 321 Search found the Mega Prime:

3*2^16819291-1

The prime is 5,063,112 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 21st overall.

The discovery was made by Rudi Tapper (ruditapper) of the United Kingdom using an AMD Ryzen Threadripper 3990X 64-Core Processor with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 5 hours, 40 minutes to complete the primality test using LLR2. Rudi Tapper is a member of the Antarctic Crunchers team.

For more details, please see the official announcement.

Profile JeppeSNProject donor
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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (15,983,317)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (112,277)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)GFN Ruby: Earned 2,000,000 credits (4,228,147)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 149498 - Posted: 16 Mar 2021 | 22:15:18 UTC - in response to Message 148119.

For more details, please see the official announcement.

In the PDF, the phrase "OpenPFGW, a primality program developed by Chris Nash & Jim Fougeron, was used to check for Fermat Number divisibility (including generalized and extended)" etc. is not relevant (this is a c = -1 prime). /JeppeSN

Message boards : News : 321 Mega Prime!

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