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Message boards : General discussion : Researcher uses 379-year-old algorithm to crack crypto keys found in the wild

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Message 154951 - Posted: 26 Mar 2022 | 16:21:04 UTC

Researcher uses 379-year-old algorithm to crack crypto keys found in the wild

Cryptographers have long known that RSA keys that are generated with primes that are too close together can be trivially broken with Fermat's factorization method.

____________

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Profile JeppeSNProject donor
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Message 154953 - Posted: 26 Mar 2022 | 17:23:06 UTC


/JeppeSN

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Yves Gallot
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Message 154955 - Posted: 26 Mar 2022 | 19:28:51 UTC - in response to Message 154951.

Researcher uses 379-year-old algorithm to crack crypto keys found in the wild
Cryptographers have long known that RSA keys that are generated with primes that are too close together can be trivially broken with Fermat's factorization method.

It is a known fact. See https://facthacks.cr.yp.to/fermat.html for example, written in 2012.

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Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (6,055,323)Cullen LLR Gold: Earned 500,000 credits (776,297)ESP LLR Ruby: Earned 2,000,000 credits (3,433,680)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,443,837)PPS LLR Sapphire: Earned 20,000,000 credits (33,759,926)PSP LLR Turquoise: Earned 5,000,000 credits (6,587,988)SoB LLR Sapphire: Earned 20,000,000 credits (44,987,733)SR5 LLR Turquoise: Earned 5,000,000 credits (6,205,694)SGS LLR Ruby: Earned 2,000,000 credits (3,627,819)TRP LLR Turquoise: Earned 5,000,000 credits (7,078,152)Woodall LLR Amethyst: Earned 1,000,000 credits (1,693,614)321 Sieve (suspended) Emerald: Earned 50,000,000 credits (50,256,050)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,571,178)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,009,610)PPS Sieve Double Silver: Earned 200,000,000 credits (457,903,777)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,165,888)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,071,454)AP 26/27 Turquoise: Earned 5,000,000 credits (6,798,063)GFN Emerald: Earned 50,000,000 credits (57,113,430)WW Ruby: Earned 2,000,000 credits (2,072,000)PSA Double Bronze: Earned 100,000,000 credits (102,762,384)
Message 155239 - Posted: 27 Apr 2022 | 21:43:50 UTC

Next year, it will a 380-year-old algorithm, and still just as useful for breaking weak keys.

If testing key strength is not a standard part of generating new crypto keys, it should be.

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Message boards : General discussion : Researcher uses 379-year-old algorithm to crack crypto keys found in the wild

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