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On the Navier–Stokes Millennium Prize Problem

AchievementResearchSep 6, 2026

OpenAI announced a solution to the Navier–Stokes existence and smoothness Millennium Prize Problem, produced by an internal model it says is significantly more capable than GPT-6 Astra. The proof, shared as a writeup and a Lean formalization, shows that smooth three-dimensional fluid motion can develop a singularity in finite time. The system used coordinating agents—roughly 10,000 concurrent for this problem—with internet access and code execution. OpenAI said the model's training is ongoing.

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OpenAICompanyChatGPTModelGPT-6 AstraModelNewtonPerson
Canonical: https://openai.com/index/navier-stokes-solution/