Anthropic uses Claude to produce the first complete computer-checked proof of Fermat’s Last Theorem

The new computer-verified version was created by formalizing Wiles' proof into the Lean programming language, which allows computers to automatically verify mathematical logic. Researchers expected the formalization process to take several years, but the AI completed the task in 11 days. The process involved dozens of agents producing 6 billion tokens of output and proving 29,500 intermediate theorems. The resulting proof consists of 13 million lines of Lean code, making it the largest-ever file of its kind. The breakthrough was achieved by using an open-source tool called Prove2Me, which helped the AI agents determine the optimal next steps in the workflow. Kevin Buzzard, a mathematician who reviewed the proof, noted that the ability to easily formalize work can lighten the burden of evaluating new results.