AI
OpenAI says internal model produced a Lean-verified proof of a Navier–Stokes finite-time singularity
OpenAI published a writeup and Lean formalization on September 8 showing an internal system it says is significantly more capable than GPT-6 Astra produced an analytical proof that smooth three-dimensional fluid can develop a singularity in finite time, addressing one of the seven Clay Millennium Prize Problems. Roughly 10,000 concurrent agents worked about 88 hours, with Lean verification adding another 17 hours, and OpenAI disclosed a parallel forced-Euler result from Anthropic's Levent Alpöge and NYU's Tristan Buckmaster. The company said it will not claim the $1 million Clay prize.