Anthropic Claude Raises Riemann Zeta Lower Bound
Anthropic tested an unreleased research model on a problem related to the Riemann hypothesis.
Anthropic posted that an unreleased research version of Claude tackled a problem connected to the Riemann hypothesis. The model did not solve the hypothesis. It raised the proven lower bound for the fraction of zeros of the Riemann zeta function that satisfy the hypothesis from 41.6% to 67.2%. The company linked a page on its site titled Learning more about Claude's mathematical capabilities. Posts quoting the announcement circulated on X with reactions from researchers and investors.
We asked an unreleased research version of Claude to take a stab at the Riemann hypothesis. It didn’t solve it, but it did make strides on a related problem: it increased the lower bound for the fraction of zeros of the Riemann zeta function that satisfy the hypothesis from…
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111 postsDS AV 
Alex Volkov@altryneAnthropic this year: - Claude nearly broke all encryption - Claude didn't "quite solve" the Reimann hypothesis Anthropic next year: ...
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RF Ralph Furman@rfurmaniakOne year ago I was excited that AI could have saved me a few years of my PhD by helping me find relevant results. Now it's coming up with better results than I possibly could have. Brave new world...
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JH Jay Hack@mathemagic1an. @jarredsumner assembled a multi-agent system of Claudes to make progress on the Riemann hypothesis "Jared's input was mostly limited to sending Claude messages of encouragemente (mostly variants of 'keep going' or 'believe in yourself')"
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PR JS Jarred Sumner@jarredsumner8 days ago, while jogging, I asked Claude to solve the Riemann Hypothesis It didn’t. 1.5 days later, it proved >= 67% of the zeros are on the line (prev: 41.6%) Still not sure what that means, but some analytic number theorists seem excited
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