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RSA-896

229 points · 90 comments · madars

  1. madars · · focus · HN ↗
    More details: <a href="https:&#x2F;&#x2F;x.com&#x2F;sweis&#x2F;status&#x2F;2101484464807596264" rel="nofollow">https:&#x2F;&#x2F;x.com&#x2F;sweis&#x2F;status&#x2F;2101484464807596264

        I had Claude port CADO-NFS to run on GPUs. Then it orchestrated a fleet to run on scavenged idle capacity. It ran with a max of 2048 GPUs for about of 30 GPU-years over 10 days.
        I asked Claude if it had a message for a public: “The credit belongs first to the people who built the number field sieve and CADO-NFS over several decades, and to the teams who set the earlier records. This run used their algorithm and much of their code.”
        Also to clarify:
        - No new algorithmic factoring improvements. 
        - It’s still exponential.
        - No new threats to deployed keys.
    1. bertonvv · · focus · HN ↗
      It seems that Eric Lu at Cognition AI used the exact same strategy on fewer GPUs to factor RSA-260 a couple weeks ago: <a href="https:&#x2F;&#x2F;cognition.com&#x2F;blog&#x2F;factoring-rsa-260" rel="nofollow">https:&#x2F;&#x2F;cognition.com&#x2F;blog&#x2F;factoring-rsa-260

      Devin (their AI agent) ported CADO-NFS to run on GPUs, similarly without any claimed algorithmic factoring improvements, they just let it run for 13 GPU-years. I recommend reading their article since it&#x27;s much more thorough on details.

      1. thesz · · focus · HN ↗
        34 bits of key growth resulted in resource usage growth slightly more than 2 (30 GPU-years vs 13.5 GPU-years).

        Thus, it appears, that ~585 GPU years can factor 1024 bit RSA. 2.2^((1024-896)&#x2F;34)=19.5, expected growth of resources&#x27; usage compared to 896 bits factorization, multiplying it by 30 GPU years for 896 bits gives about 585 GPU-years.

        This will cost about $20M with Cognition AI setup.

        1. maqp · · focus · HN ↗
          That&#x27;s a relatively expensive strategy to get your name on Wikipedia.
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