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Stylized illustration of Anthropic compute racks powering Lean proof formalization.

Stylized illustration of Anthropic compute racks powering Lean proof formalization.

The day in AI

Saturday, 5 September 2026 1 story · summarised & linked to the source
AI & Academia Anthropic Claude Model Evaluation

AI news — Saturday, 5 September 2026

Anthropic’s latest Claude-assisted math sprint made a very un–AI thing look almost routine: turning Andrew Wiles’ proof of Fermat’s Last Theorem into computer-verifiable Lean code. Claude helped formalize the argument as a single Lean file weighing in at about 13 million lines, completed in 11 days. In practical terms, it replaces “trust me” with a proof that other machines can check line by line, cutting down the human error risk that comes with reading long, intricate reasoning and making the result far easier to share and audit.

The throughline isn’t just that an AI system can write correct-looking text; it’s that Claude can navigate a proof assistant’s rules closely enough to land in the narrow space where every step must type-check. Lean acts as the gatekeeper, so the model’s output has to be structurally compatible with formal logic, not merely persuasive. For executives watching the business side of AI, this is a glimpse of a maturing workflow: models producing formal artifacts that reduce verification costs and convert specialized expertise into assets that scale beyond individual teams.

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Anthropic uses Claude to formalize proof of Fermat’s Last Theorem

SiliconANGLE 2 hours ago 38

Anthropic used Claude to turn Andrew Wiles’ Fermat’s Last Theorem proof into computer-verifiable Lean code. The formalization consists of 13 million lines of Lean code and was completed in 11 days. The result is a large Lean proof file that can be checked automatically by computers, reducing human-error risk and easing sharing.

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