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Message boards : General discussion : Cryptanalysis of 1024-bit trapdoored primes

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Brook HarsteProject donor
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Joined: 30 Nov 08
Posts: 1348
ID: 32401
Credit: 805,483,198
RAC: 0
Discovered 2 mega primesFound 1 prime in the 2019 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,334,077)Cullen LLR Turquoise: Earned 5,000,000 credits (5,010,955)ESP LLR Turquoise: Earned 5,000,000 credits (7,439,418)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,501,906)PPS LLR Sapphire: Earned 20,000,000 credits (26,697,006)PSP LLR Turquoise: Earned 5,000,000 credits (6,184,417)SoB LLR Jade: Earned 10,000,000 credits (12,120,365)SR5 LLR Turquoise: Earned 5,000,000 credits (9,234,440)SGS LLR Turquoise: Earned 5,000,000 credits (5,201,403)TRP LLR Turquoise: Earned 5,000,000 credits (5,628,223)Woodall LLR Turquoise: Earned 5,000,000 credits (5,061,985)321 Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,027,534)Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (17,370,919)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,014,372)PPS Sieve Double Bronze: Earned 100,000,000 credits (129,430,775)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,083,315)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,629,248)AP 26/27 Emerald: Earned 50,000,000 credits (56,876,924)GFN Double Silver: Earned 200,000,000 credits (286,079,854)PSA Double Silver: Earned 200,000,000 credits (200,556,062)
Message 99589 - Posted: 6 Oct 2016 | 13:45:23 UTC

Interesting read.
http://caramba.inria.fr/hsnfs1024.html
____________

Van ZimmermanProject donor
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Joined: 30 Aug 12
Posts: 1950
ID: 168418
Credit: 6,315,554,899
RAC: 0
Discovered the World's First GFN-20 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (20,089,185)Cullen LLR Sapphire: Earned 20,000,000 credits (21,197,588)ESP LLR Sapphire: Earned 20,000,000 credits (20,089,407)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (21,873,609)PPS LLR Sapphire: Earned 20,000,000 credits (21,918,476)PSP LLR Sapphire: Earned 20,000,000 credits (20,117,197)SoB LLR Sapphire: Earned 20,000,000 credits (26,779,370)SR5 LLR Sapphire: Earned 20,000,000 credits (20,278,667)SGS LLR Sapphire: Earned 20,000,000 credits (20,055,153)TRP LLR Sapphire: Earned 20,000,000 credits (20,619,871)Woodall LLR Sapphire: Earned 20,000,000 credits (20,394,541)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (28,148,632)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,373,251)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,051,222,753)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,189,695)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,102,079)AP 26/27 Emerald: Earned 50,000,000 credits (60,248,786)GFN Double Ruby: Earned 2,000,000,000 credits (4,703,540,875)PSA Double Bronze: Earned 100,000,000 credits (198,313,575)
Message 99596 - Posted: 6 Oct 2016 | 15:18:54 UTC

With rather unnerving consequences.

Message boards : General discussion : Cryptanalysis of 1024-bit trapdoored primes

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