Anthropic claims to have solved Fermat’s Last Theorem before me
anthropic
| Source: HN | Original article
Anthropic AI has successfully formalized Fermat's Last Theorem, marking a milestone in automated mathematical proof.
Anthropic announced that one of its internal models has automatically formalised a complete proof of Fermat’s Last Theorem (FLT) in the Lean proof assistant. The effort, carried out on the prove2.me platform, generated roughly 13 million lines of Lean code and proved about 29 500 intermediate theorems. According to the company, the entire auto‑formalisation took just 11 days and was later reviewed by mathematician Kevin Buzzard, who described the result as an “extraordinary auto‑formalisation achievement” that verifies the theorem solely from the axioms of mathematics.
The breakthrough follows Anthropic’s earlier claim, reported on 5 September, that its Claude model could work “largely autonomously” over 11 days to formalise the FLT proof. This new, more detailed disclosure confirms that the AI‑driven pipeline can translate Andrew Wiles’s intricate 1995 proof into a machine‑verifiable format, a milestone for mechanised mathematics.
Why it matters is twofold. First, it demonstrates that large language models can handle the extreme logical depth required for modern mathematics, potentially accelerating the verification of existing results and the discovery of new ones. Second, the ability to produce massive, correct formal artefacts without human intervention raises questions about the future role of mathematicians, the reliability of AI‑generated proofs, and the broader impact on fields that rely on formal verification such as software safety and cryptography.
What to watch next includes Anthropic’s plans to apply the same pipeline to other landmark theorems, the response of the mathematical community to the verification process, and any further collaborations with proof‑assistant ecosystems. Observers will also be keen to see whether regulators or industry stakeholders view this capability as a strategic asset or a new supply‑chain risk, echoing recent discussions about Anthropic’s broader AI deployments.
Sources
Back to AIPULSEN