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Claude formalizes Fermat’s Last Theorem in Lean

Anthropic reported on September 4, 2026 that Claude produced the first complete computer-checked proof of Fermat’s Last Theorem, writing about 13 million lines of Lean and proving roughly 29,500 intermediate theorems over about 11 days of largely autonomous multi-agent work on the Prove2Me platform, using Lean’s three standard axioms and a statement matched to Mathlib’s FLT. Anthropic researcher Tianyi Peng directed high-level priorities; Kevin Buzzard reviewed the result and called the autoformalization extraordinary, saying such techniques could help check AI-generated math and lighten refereeing. Anthropic frames this as verification of Wiles’s theorem path (via Darmon–Diamond–Taylor), not novel mathematics like a new Riemann result, and not a Claude consumer product launch.

This extraordinary autoformalization achievement, which Anthropic researchers say only took 11 days, proves Fermat’s Last Theorem with no assumptions other than the axioms of mathematics.

Kevin Buzzard

Source: Anthropic