Anthropic Claude 完成费马大定理首个全计算机验证证明

Respect where respect is due: Anthropic says Claude completed the first fully computer-checked proof of Fermat’s Last Theorem in 11 days.

Andrew Wiles proved the theorem in 1995. Claude’s achievement was turning an existing proof into a form where a computer can check every logical step.

That is much harder than translating text into code. Human mathematicians leave many steps implicit and rely on results scattered across centuries of research. Those dependencies also need precise definitions and proofs.

Working largely autonomously, dozens of Claude agents produced 13 million lines of Lean code and roughly 29,500 supporting theorems, building on existing human work.

Along the way, Claude also produced machine-checkable proofs of roughly 29,500 supporting theorems across algebra, geometry, number theory and harmonic analysis, including mathematics that had never been formalized before.

That could help mathematicians check new research faster, catch hidden gaps, and rigorously evaluate AI-generated proofs. Kudos, Anthropic!