Formal Mathematics

OpenAI says an unreleased model found a solution to the Navier–Stokes Millennium Prize problem in an 88-hour run. The company says roughly 10,000 agents contributed and the result reached Lean formalization.

Anthropic says an unreleased Claude did not solve the Riemann hypothesis but improved a related zeta-zero lower bound from 41.6% to about 67.2%. Posts describe subagents, expert prompting, and Lean formalization.

OpenAI says an internal Astra model generated arguments for ten long-standing math and theoretical CS problems, with Lean 4 certificates in openai/ten-proofs. Posts focused on the reported sub-$2,000 inference cost.

Epoch said an AI-generated solution found a presentation for the absolute Galois group of the 2-adic numbers, marking the second FrontierMath open problem it says AI solved. The result was elicited with Fable 5 and also GPT-5.5 Pro, making it a benchmark milestone rather than a product release.