HotTea LiveVerified, material updates onlyUpdated Sep 4, 11:21 AM PDT

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Anthropic publishes a computer-checked Lean proof of Fermat's Last Theorem

Anthropic says Claude wrote the 13-million-line proof largely autonomously in 11 days. The public repository reports checks by Lean, a second kernel, and a comparator against Mathlib's statement. This formalizes known mathematics rather than proving a new theorem.

First published Sep 4, 11:21 AM PDT · Last updated Sep 4, 11:21 AM PDT

What happened

Anthropic released a complete Lean formalization of Fermat's Last Theorem under Apache 2.0. The repository contains 29,511 theorems and 1,450 definition modules. Anthropic says dozens of Claude agents used the Prove2Me system. A researcher gave occasional high-level direction. Anthropic says the run consumed about six billion output tokens.

Why it matters now

The release shows an AI system formalized a long modern proof. Human-led projects expected work at this scale to take years. Its checks cover the theorem statement, dependencies, and standard axioms. They do not judge whether each intermediate theorem's name matches its meaning. The proof also does not replace a readable mathematical explanation. Rebuilding every check needs substantial hardware. Anthropic reports 153 GB of peak memory for its build and 230 GB for its comparator run.

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What changed

Anthropic publishes a computer-checked Lean proof of Fermat's Last Theorem

Anthropic released the 13-million-line Lean proof and its checks under Apache 2.0. The company says Claude wrote it largely autonomously in 11 days, with occasional high-level direction from a researcher.

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