← Back to the wire

On the Navier–Stokes Millennium Prize Problem

AchievementResearchSep 6, 2026

OpenAI announced that an internal AI system, described as significantly more capable than GPT-6 Astra, produced a proof that the three-dimensional Navier–Stokes equations can develop a singularity in finite time, resolving the Millennium Prize problem. The company released a writeup and a Lean formalization. The proof was generated by coordinating agents—roughly 10,000 concurrent agents in the successful group—and establishes statements "C" and "D" in the official Millennium Prize formulation.

Receipt № 18061 source · awaiting confirmation ◐

Evidence

1source· awaiting independent confirmation

No score is assigned. Sources and their independence are shown in the citation chain below.

Citation chain · 1 source

OpenAICompanyGPT-6 AstraModel
Canonical: https://openai.com/index/navier-stokes-solution/