Anthropic used Claude to produce the first complete computer-checked proof of Fermat's Last Theorem in Lean, working largely autonomously over 11 days

Formalizing Fermat's Last Theorem

Claude worked largely autonomously for 11 days to produce the first end-to-end, computer-checked proof of Fermat's Last Theorem in Lean. It wrote 13 million lines of code and proved 29,500 intermediate theorems. The proof follows a simplified version of Wiles's proof by Darmon, Diamond, and Taylor. Human input was limited to occasional high-level instructions. Kevin Buzzard noted the autoformalization artifacts are now robust enough to be built upon. I'd hold off on full excitement until independent third-party audits confirm the result.

Why it matters: Anthropic's own research release, not a third-party repost. Claude largely autonomously completed a full Lean formalization of FLT — a milestone for formal mathematics. 13M lines of code, 29.5K intermediate theorems, 11-day runtime: the numbers are solid. HKR all hit. The only...