AI Systems Claim Two Century-Old Mathematical Proofs in One Week
OpenAI published a proposed proof of the Navier–Stokes existence and smoothness problem — a Millennium Prize Problem — while Anthropic simultaneously announced formal verification of Fermat's Last Theorem using AI-assisted proof tools, marking the most concentrated week of AI mathematical achievement on record.
- Navier–Stokes describes turbulent fluid flow and has resisted proof since the 1820s; Clay Institute verification is ongoing
- Anthropic's Fermat proof built on Andrew Wiles's 1995 human proof but formalized it in the Lean proof assistant
- If Navier–Stokes holds, OpenAI is eligible for the $1 million Clay Millennium Prize