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Message boards : News : World Record Sophie Germain Prime!

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Scott BrownProject donor
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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 (128,853,717)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 (234,317,876)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 (102,755,380)GFN Double Gold: Earned 500,000,000 credits (875,373,885)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 92872 - Posted: 6 Mar 2016 | 14:50:22 UTC

On 29 February 2016 05:39:14 UTC, PrimeGrid’s Sophie Germain Prime Search found a World Record Sophie Germain prime: 2618163402417*2^1290000-1 (2p+1: 2618163402417*2^1290001-1)

The prime is 388,342 digits long, eclipsing the previous record of 200,701 digits. It enters Chris Caldwell's “The Largest Known Primes Database” ranked 1st for Sophie Germain primes and 3,747th overall.

The discovery was made by Scott Brown (Scott Brown) of the United States using an Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz with 4 GB RAM running Microsoft Windows 7 Enterprise. This computer, using LLR, took about 1 hour and 33 minutes to complete the primality test. Scott is a member of the Duke University team.

The prime was verified on 29 February 2016 06:21:47 UTC, by Vaughan Davies (vaughan) of Australia using an Intel(R) Core(TM) i7-4770S CPU @ 3.10GHz with 32 GB RAM running Microsoft Windows 7 Ultimate. This computer, using LLR, took about 47 minutes to complete the primality test. Vaughan is a member of the AMD Users team.

For more details, please see the official announcement.

Scott BrownProject donor
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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 (128,853,717)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 (234,317,876)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 (102,755,380)GFN Double Gold: Earned 500,000,000 credits (875,373,885)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 92873 - Posted: 6 Mar 2016 | 14:57:08 UTC

A couple of fun facts to add:

The last world record Sophie Germain prime that was found by PrimeGrid in 2012 was also found by a user from the United States and verified by a user from Australia.

The announcement for the last SGS world record was also my first official announcement post here after taking over that task from John! Time sure does fly when you are having fun. :)

Profile Michael GoetzProject donor
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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,504,899)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,004,898)PPS LLR Ruby: Earned 2,000,000 credits (2,082,200)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (24,559,433)SR5 LLR Turquoise: Earned 5,000,000 credits (7,216,756)SGS LLR Ruby: Earned 2,000,000 credits (2,010,466)TRP LLR Ruby: Earned 2,000,000 credits (2,433,520)Woodall LLR Amethyst: Earned 1,000,000 credits (1,957,155)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,845,328)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Turquoise: Earned 5,000,000 credits (6,499,818)GFN Emerald: Earned 50,000,000 credits (52,696,314)PSA Jade: Earned 10,000,000 credits (10,038,118)
Message 92874 - Posted: 6 Mar 2016 | 15:07:45 UTC

Congratulations Scott!

This is really a great discovery.

That sounds so low key. On the day Scott found that prime, I was all exclamation marks and ALL CAPS on the admin back-channels. :) Mega primes may have become routine (there were 6 last month, and 2 so far this month), but an SGS or twin is really rare.
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[CSF] Thomas H.V. DupontProject donor
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321 LLR Bronze: Earned 10,000 credits (18,114)Cullen LLR Bronze: Earned 10,000 credits (34,704)ESP LLR Bronze: Earned 10,000 credits (26,640)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (15,312)PPS LLR Bronze: Earned 10,000 credits (78,903)SoB LLR Silver: Earned 100,000 credits (121,578)SR5 LLR Bronze: Earned 10,000 credits (25,295)SGS LLR Gold: Earned 500,000 credits (507,221)Generalized Cullen/Woodall Sieve Silver: Earned 100,000 credits (113,599)PPS Sieve Jade: Earned 10,000,000 credits (17,893,268)TRP Sieve (suspended) Bronze: Earned 10,000 credits (26,191)AP 26/27 Silver: Earned 100,000 credits (384,085)GFN Amethyst: Earned 1,000,000 credits (1,602,963)PSA Ruby: Earned 2,000,000 credits (2,473,720)
Message 92877 - Posted: 6 Mar 2016 | 17:26:32 UTC

Congratulations Scott! Awesome discovery! :)
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[CSF] Thomas H.V. DupontProject donor
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321 LLR Bronze: Earned 10,000 credits (18,114)Cullen LLR Bronze: Earned 10,000 credits (34,704)ESP LLR Bronze: Earned 10,000 credits (26,640)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (15,312)PPS LLR Bronze: Earned 10,000 credits (78,903)SoB LLR Silver: Earned 100,000 credits (121,578)SR5 LLR Bronze: Earned 10,000 credits (25,295)SGS LLR Gold: Earned 500,000 credits (507,221)Generalized Cullen/Woodall Sieve Silver: Earned 100,000 credits (113,599)PPS Sieve Jade: Earned 10,000,000 credits (17,893,268)TRP Sieve (suspended) Bronze: Earned 10,000 credits (26,191)AP 26/27 Silver: Earned 100,000 credits (384,085)GFN Amethyst: Earned 1,000,000 credits (1,602,963)PSA Ruby: Earned 2,000,000 credits (2,473,720)
Message 92898 - Posted: 7 Mar 2016 | 7:52:24 UTC

And congratulations to Vaughan for the check! :)
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JohnProject donor
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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 93041 - Posted: 13 Mar 2016 | 0:51:26 UTC

Congratulations to Scott and Vaughan!!! It’s GREAT to see two “old schoolers” come together to pull this one up from the depths. I’m very pleased to see Sohpie Germain again in the spotlight with a record prime of her namesake. Well done PrimeGrid.

To understand her contributions in light of the obstacles she faced, I think Gauss captures it perfectly:

    But how to describe to you my admiration and astonishment at seeing my esteemed correspondent Monsieur Le Blanc metamorphose himself into this illustrious personage who gives such a brilliant example of what I would find it difficult to believe. A taste for the abstract sciences in general and above all the mysteries of numbers is excessively rare: one is not astonished at it: the enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it. But when a person of the sex which, according to our customs and prejudices, must encounter infinitely more difficulties than men to familiarize herself with these thorny researches, succeeds nevertheless in surmounting these obstacles and penetrating the most obscure parts of them, then without doubt she must have the noblest courage, quite extraordinary talents and superior genius. Carl Friedrich Gauss

She is most notably known for her work on Fermat's Last Theorem and as a pioneer in elasticity theory.



Math's Hidden Woman By Simon Singh Posted 10.28.97 NOVA
An excerpt from Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem
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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 93228 - Posted: 17 Mar 2016 | 0:18:57 UTC

In a related topic, it is interesting to note that Sir Andrew J. Wiles received the Abel Prize yesterday 15 March 2016 for his 1994 proof of Fermat’s Last Theorem.
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