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Story

On the Navier–Stokes Millennium Prize Problem

2 reports

2 websites

2 discussions

Latest report

Overview

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. ...

Summary from openai.com.

Reports

Coverage in publication order. Each report keeps its own summary and analysis.

  1. openai.com

    On the Navier–Stokes Millennium Prize Problem

    Read report →
  2. simonwillison.net

    The Navier–Stokes Millennium Prize Problem

    8th September 2026 - Link Blog On the Navier–Stokes Millennium Prize Problem (via) Impressive result from OpenAI, who used an unreleased model to produce a resolution to the Navier–Stokes existence and smoothness problem, one of the seven Millennium Prize Problems that have been subject to a $1,000,000 prize since May 24th, 2000. The discovery is somewhat overshadowed by accusations of skulduggery...

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Community reactions

Each reaction summarizes sampled comments from the linked discussion.

Hacker News · openai.com

On the Navier–Stokes Millennium Prize Problem ↗

Hacker News · simonwillison.net

The Navier–Stokes Millennium Prize Problem ↗
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