Anthropic has not announced a solution to any Millennium Prize Problem as of mid-October 2026, despite employee Levent Alpöge’s collaboration with mathematician Tristan Buckmaster on AI-assisted progress toward Navier-Stokes variants. OpenAI’s September 8 claim of resolving a forced Navier-Stokes singularity using thousands of internal agents drew immediate attention and controversy over priority, as it followed closely after the Alpöge-Buckmaster Euler regularity results produced with models from both labs. The Clay Mathematics Institute has described OpenAI’s work as “apparently settled” but has not awarded the prize pending further review. Anthropic’s own reported advances, such as improved bounds on Riemann zeta zeros, remain incremental rather than prize-level resolutions. Ongoing scrutiny of the Navier-Stokes claims and OpenAI’s subsequent release of hundreds of additional AI-generated proofs continue to shape expectations around which labs will secure formal recognition first.