“An unreleased research version of Claude raised the proven lower bound for the fraction of Riemann zeta zeros satisfying the hypothesis from 41.6% to 67.2%, working autonomously across two sessions with about 60 subagents.”
Anthropic, 10 August 2026
Recorded 13 August 2026. Our ruling means: literally true, materially misleading.
Claude also produced a formally verifiable proof of its result. We are grateful to Brian Conrey and Dan Goldston, two experts in this area, who generously examined the paper on short notice. We don't expect that the techniques Claude used will lead to proving the Riemann hypothesis.
It is not a proof of the Riemann hypothesis, has not yet passed conventional peer review, and cannot be reproduced end to end because Anthropic used an unidentified research model.
This result has not been submitted to a journal and has not undergone peer review. The review by Conrey and Goldston is described as a "favorable examination on short notice," which is different in nature from a formal peer review.
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“AI is dramatically accelerating AI research at Anthropic right now, roughly doubling the pace of capabilities progress.”
TRUE, BUTLab Not FieldAjeya Cotra on Planned Obsolescence, reading METR's assessment and Anthropic's S-1 statement that it may imminently meet its own threshold
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