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Message boards : News : New SR5 Mega Prime Found!

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Scott BrownProject donor
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Joined: 17 Oct 05
Posts: 1750
ID: 1178
Credit: 5,467,167,955
RAC: 3,382,957
Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 12 mega primesEliminated 6 conjecture "k"sDiscovered 1 Sophie Germain pairDiscovered 1 Fermat divisor2012 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 Stage321 LLR Double Bronze: Earned 100,000,000 credits (100,829,118)Cullen LLR Double Bronze: Earned 100,000,000 credits (103,702,522)ESP LLR Double Bronze: Earned 100,000,000 credits (103,603,483)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (102,075,655)PPS LLR Double Silver: Earned 200,000,000 credits (303,052,366)PSP LLR Emerald: Earned 50,000,000 credits (80,100,999)SoB LLR Double Bronze: Earned 100,000,000 credits (116,841,417)SR5 LLR Double Bronze: Earned 100,000,000 credits (128,857,078)SGS LLR Double Bronze: Earned 100,000,000 credits (143,876,598)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Bronze: Earned 100,000,000 credits (109,149,031)Woodall LLR Double Bronze: Earned 100,000,000 credits (100,594,343)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,322,150)Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (83,794,448)Generalized Cullen/Woodall Sieve Double Silver: Earned 200,000,000 credits (234,318,969)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,105,655,578)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 Bronze: Earned 100,000,000 credits (102,787,724)GFN Double Gold: Earned 500,000,000 credits (875,375,539)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 78105 - Posted: 15 Jul 2014 | 20:19:55 UTC

On 19 June 2014, 3:36:34 UTC, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=22478 by finding the mega prime:

22478*5^1675150-1

The prime is 1,170,884 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 54th overall. This is the largest known base 5 mega prime. 81 k's now remain in the Riesel Base 5 Problem.

The discovery was made by Guo Hua Miao (前朝遗少) of China using an Intel Xeon CPU E5-4617 @ 2.90GHz with 516GB RAM running Linux. This computer took about 25 hours and 24 minutes to complete the primality test using LLR. 前朝遗少 is a member of Team China.

The prime was verified internally.

For more details, please see the official announcement.

Scott BrownProject donor
Volunteer moderator
Project administrator
Volunteer tester
Project scientist
Avatar
Send message
Joined: 17 Oct 05
Posts: 1750
ID: 1178
Credit: 5,467,167,955
RAC: 3,382,957
Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 12 mega primesEliminated 6 conjecture "k"sDiscovered 1 Sophie Germain pairDiscovered 1 Fermat divisor2012 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 Stage321 LLR Double Bronze: Earned 100,000,000 credits (100,829,118)Cullen LLR Double Bronze: Earned 100,000,000 credits (103,702,522)ESP LLR Double Bronze: Earned 100,000,000 credits (103,603,483)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (102,075,655)PPS LLR Double Silver: Earned 200,000,000 credits (303,052,366)PSP LLR Emerald: Earned 50,000,000 credits (80,100,999)SoB LLR Double Bronze: Earned 100,000,000 credits (116,841,417)SR5 LLR Double Bronze: Earned 100,000,000 credits (128,857,078)SGS LLR Double Bronze: Earned 100,000,000 credits (143,876,598)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Bronze: Earned 100,000,000 credits (109,149,031)Woodall LLR Double Bronze: Earned 100,000,000 credits (100,594,343)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,322,150)Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (83,794,448)Generalized Cullen/Woodall Sieve Double Silver: Earned 200,000,000 credits (234,318,969)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,105,655,578)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 Bronze: Earned 100,000,000 credits (102,787,724)GFN Double Gold: Earned 500,000,000 credits (875,375,539)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 78111 - Posted: 16 Jul 2014 | 2:31:06 UTC

By the way...

This is our 10th SR5 mega-prime, the 8th SR5 mega-prime found this year, and our 14th mega-prime of 2014 (which is a new record).

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Message boards : News : New SR5 Mega Prime Found!

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