OpenAI publishes AI-generated Navier-Stokes solution with Lean formal proof
OpenAI announced an AI-generated proposed solution to the Navier-Stokes Millennium Prize Problem, including a writeup and formal proof in Lean. The effort used a model described as more capable than GPT-6 Astra, 10,000 parallel agents over 88 hours, and 17 hours of formal verification, with an estimated $10M-$40M in compute and 130B output tokens. The result is contested on priority and contamination grounds, but the formal verification is the substantive core.
Treat this as a test-time-compute milestone, not a solved problem. The Lean artifact is what matters; if independent verifiers confirm it, budget models for expensive agentic research workstreams change materially.