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Anthropic formalizes Wiles's proof of Fermat's Last Theorem in Lean
Tracks Anthropic's AI-assisted formalization of Wiles's proof and lessons for coordinating large mathematical agent projects.
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Overview
Anthropic reported an AI-assisted Lean formalization of an existing proof of Fermat's Last Theorem, rather than discovery of a new proof. Moonshots highlighted the roughly 13-million-line artifact and thousands of intermediate theorems, and treated it as evidence that large agent workflows need explicit objectives and mechanisms to consolidate sprawling output. In a later Moonshots episode, Robinhood CEO and Harmonic founder Vlad Tenev used the formalization as a model for verifiable AI output: no human will read a 13-million-line proof, but a person can check the one-line theorem statement and let Lean check the rest, which he estimated saves well over 90 percent of the effort. He predicted AI-generated code will come with certificates of correctness. Alex Wissner-Gross objected that Fermat is an easy case because its statement is simple, while specifications such as safety in an agentic environment are hard to state, and a strong model could slip in definitions that help it and harm humans. Tenev said models are becoming more faithful when formalizing statements. Tenev's retelling of the history, that repairing Wiles's error took six or seven years, differs from Anthropic's own report, which puts the repair at roughly a year.
Recent coverage
Changes to our coverage published in the past seven days. These are site update dates; podcast discussion dates and sources are in each version.
No changes to this account were published in the past seven days.
What changed
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Interpretation
Vlad Tenev presented the Fermat formalization as a template for certifying AI output: humans check the short theorem statement and Lean checks the 13 million lines. Alex Wissner-Gross countered that this works only when the statement is simple, and questioned whether the method can extend to agent safety. Tenev's account of how long Wiles's repair took differs from Anthropic's history.
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New information
The hosts distinguish formalizing Wiles's proof from proving the theorem for the first time and draw practical lessons about coordinating agents around a concrete final artifact.
Podcast discussions
- Moonshots with Peter Diamandis Robinhood's Vlad Tenev on Tokenizing Everything, OpenAI's 6 Misalignment Reports, Figure's Robot Makes Beds | EP #292Sep 19, 2026
- Moonshots with Peter Diamandis GPT-6 Astra Saturates ARC-AGI-3, Tesla's $30K Cybercab Floods Austin, Anthropic Proves Fermat's Last Theorem | EP #286Sep 5, 2026
Sources
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Our coverage
Anthropic's agents formalized Fermat's proof in 13 million Lean lines
Anthropic's agents formalized Wiles's existing proof of Fermat's Last Theorem in about 13 million Lean lines over eleven days, per its report, with occasional human direction and a dependency-tracking platform keeping runs from losing their work.
Version history
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Sep 25, 2026 · Version 2
Vlad Tenev presented the Fermat formalization as a template for certifying AI output: humans check the short theorem statement and Lean checks the 13 million lines. Alex Wissner-Gross countered that this works only when the statement is simple, and questioned whether the method can extend to agent safety. Tenev's account of how long Wiles's repair took differs from Anthropic's history.