
For more than 150 years, the Riemann hypothesis has stood as one of the major unsolved problems in mathematics. Anthropic hasn't solved it — but the company's models made more progress than you might expect.
An unreleased AI model made significant progress on the Riemann hypothesis, one of mathematics' biggest unsolved problems that has remained unproven for over 150 years. The model tested hundreds of different approaches by coordinating across multiple subagents, with two agents developing the key mathematical ideas while others contributed supporting work and validation. This achievement is part of a growing trend of AI models solving previously unsolved mathematical problems, which has sparked debate in the mathematics field about whether AI-discovered proofs should carry the same credibility and attribution standards as human-authored ones.
As open-source AI models proliferate, tracking their capabilities against closed alternatives helps developers choose which tools suit their needs and budgets.
Researchers found significant gaps when attempting to verify published machine learning results, raising questions about reproducibility standards in AI research.

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