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On the Navier–Stokes Millennium Prize Problem

On the Navier–Stokes Millennium Prize Problem

openai.com

September 8, 2026

7 min read

🔥🔥🔥🔥🔥

78/100

Summary

On the Navier–Stokes Millennium Prize Problem We’re sharing a solution to the Navier–Stokes existence and smoothness problem, one of the Millennium Prize Problems. This proof, produced by an internal OpenAI system, shows that the dynamics of the Navier-Stokes equations for fluid motion can develop a singularity in finite time. We’re sharing both a writeup of the proof and a formalization in Lean. ...

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More on this story

2 reports covering the same development. Grouped automatically.

The Navier–Stokes Millennium Prize Problem

simonwillison.net

Coverage & discussions

Hacker News · openai.com

On the Navier–Stokes Millennium Prize Problem ↗

Hacker News · simonwillison.net

The Navier–Stokes Millennium Prize Problem ↗

Community discussions

Hacker News discussion ↗

Historical count: 15 · 15 saved in sample · Historical sample

Awaiting analysis

Hacker News discussion ↗

Historical count: 15 · 15 saved in sample · Historical sample

Awaiting analysis