Anthropic's Claude Autonomously Generates Computer-Verified Proof of Fermat's Last Theorem

It is reported that Claude worked almost autonomously for 11 days using the Lean programming language. During this process, it wrote 13 million lines of Lean code and proved 29,500 intermediate theorems.

In the mathematical community, attempts at "formalization"—converting mathematical inference into a format that can be automatically verified by computers—have been ongoing for some time. The novelty of this achievement lies in the fact that the proof was completed in a form that allows for automated verification by computers.

Professor Kevin Buzzard of Imperial College London shared his view on this achievement, stating, "This is a significant step toward a future where all mathematics becomes easily verifiable." He noted that as AI-generated proofs increase, formalization techniques could reduce the burden of evaluating new results.