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On the Navier–Stokes Millennium Prize Problem

OpenAI · 2026

OpenAI

OpenAI's post on the Navier-Stokes Millennium Prize Problem. The companion cites its September 2026 report that some 10,000 agents, directed by people, produced in 88 hours a machine-checked proof that an initially smooth fluid at rest, under smooth forcing, can blow up in finite time. It counts as evidence for premise 1 of the long arc (C3), with the caveat that no outside check has been reported.

Cited in
the companion paper (Companion §11)
Used for
C3C3 premise 1
Strand
Frontier AI capabilities · AI in mathematics & science

Cite

@misc{openai2026navierstokes,
  title = {On the Navier–Stokes Millennium Prize Problem},
  author = {OpenAI},
  year = {2026},
  howpublished = {OpenAI},
  url = {https://openai.com/index/navier-stokes-solution/},
}