OpenAI Agents Have Solved (?) Navier-Stokes Problem (Google AI Response)

 

OpenAI announced that its AI agents solved a portion of the Navier-Stokes existence and smoothness problem, one of the seven prestigious Millennium Prize Problems worth $1 million. [1, 2]

The Breakthrough

What was solved: An analytical proof showing that a singularity (a breakdown or infinite growth in fluid velocity) can form in a three-dimensional fluid motion under a smooth external force, resolving statements "C" and "D" of the official Clay Institute problem formulation. [1, 2, 3]
How it was done: OpenAI deployed a large group of roughly 10,000 autonomous AI agents working together using a new unreleased internal model. [1, 2]
Time and cost: The agents reached the solution in 88 hours (under 4 days), exchanging nearly 5 million messages and consuming roughly 130 billion output tokens with an estimated compute cost of over $10 million. [1, 2, 3]
The prize: OpenAI stated they do not intend to claim the $1 million reward, viewing the achievement as a demonstration of technical capability rather than an official prize submission. [1, 2]

Controversy and Context

Dispute over timing: The announcement triggered a debate after it was revealed that human researchers had been circulating preliminary or unpublished notes on similar approaches right before the AI run, leading some mathematicians to question the originality or practical significance of using a contrived external force. [1, 2]
Mathematical reaction: While some experts note the solution fits the literal wording of the Clay Institute's option "C", others argue it relies on unnatural real-world constraints and doesn't answer the unforced turbulence problem mathematicians ultimately care about. [1]

A news report discussing the details and reactions to OpenAI's AI system cracking the Navier-Stokes problem: