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Message boards : News : SR5 Mega Prime Find!

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Scott BrownProject donor
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Joined: 17 Oct 05
Posts: 2392
ID: 1178
Credit: 18,660,994,744
RAC: 6,942,972
Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 83 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 Stage2023 Tour de Primes highest prime count2023 Tour de Primes highest prime scoreFound 100 primes in the 2023 Tour de PrimesFound 1 mega prime in the 2023 Tour de PrimesFound 9 primes in the 2023 Tour de Primes Mountain Stage321 LLR Double Silver: Earned 200,000,000 credits (225,294,994)Cullen LLR Double Silver: Earned 200,000,000 credits (227,849,353)ESP LLR Double Silver: Earned 200,000,000 credits (222,086,383)Generalized Cullen/Woodall LLR Double Silver: Earned 200,000,000 credits (270,311,256)PPS LLR Double Amethyst: Earned 1,000,000,000 credits (1,260,599,122)PSP LLR Double Silver: Earned 200,000,000 credits (242,373,913)SoB LLR Double Silver: Earned 200,000,000 credits (207,028,068)SR5 LLR Double Silver: Earned 200,000,000 credits (245,832,645)SGS LLR Double Silver: Earned 200,000,000 credits (245,499,392)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Silver: Earned 200,000,000 credits (286,900,365)Woodall LLR Double Silver: Earned 200,000,000 credits (229,259,795)321 Sieve (suspended) Double Silver: Earned 200,000,000 credits (235,451,253)Cullen/Woodall Sieve Double Silver: Earned 200,000,000 credits (247,462,218)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 (3,848,979,464)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 (681,979,818)GFN Double Ruby: Earned 2,000,000,000 credits (3,008,908,454)WW (retired) Double Turquoise: Earned 5,000,000,000 credits (6,025,724,000)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 152688 - Posted: 16 Dec 2021 | 20:45:41 UTC
Last modified: 17 Dec 2021 | 14:41:36 UTC

On 7 December 2021, 14:48:06 UTC, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=273662 by finding the mega prime:

273662*5^3493296-1

The prime is 2,441,715 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 97th overall. 60 k’s now remain in the Riesel Base 5 problem.

The discovery was made by Lukas Plätz (Lukas) of Germany using an AMD Ryzen 7 3700X 8-Core Processor with 16GB RAM, running Linux Mint. This computer took about 2 hours, 57 minutes to complete the prp test using LLR2.

The prime was verified on 8 December 2021, 09:52 UTC, by an AMD Ryzen 9 5900X 12-Core Processor with 64GB RAM, running Linux Mint. This computer took about 15 hours and 49 minutes to complete the primality test using LLR2.

For more details, please see the official announcement.

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Message boards : News : SR5 Mega Prime Find!

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