Draft:Navier–Stokes OpenAI Proof

Submission declined on 1 November 2026 by Kisseran (talk).

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Declined by Kisseran 10 days ago. Last edited by Kisseran 10 days ago. Reviewer: Inform author.

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On the 11th of September, 2026, OpenAI gave a proof the the Clay Maths Institute about having a solution to the Navier–Stokes equations. The Navier–Stokes equations mathematically express momentum balance for Newtonian fluids and make use of the conservation of mass.^[1] The Navier-Stokes Problem^[2] is a Millenium Maths problem, meaning that it has on offer One Million Dollars^[3] to anyone who solves it.^[4]

OpenAI said that its proof had be checked by Lean. OpenAI used an internal model many times more capable than GPT-6 Astra. Despite this, it is expected to be proven wrong or right by 2028.^[5]

References

↑ Weisstein, Eric W. "Navier-Stokes Equations". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-11-01.
↑ "Navier-Stokes Equation". Clay Mathematics Institute. Retrieved 2026-11-01.
↑ "Rules for the Millennium Prize Problems". Clay Mathematics Institute. Retrieved 2026-11-01.
↑ "The Millennium Prize Problems". Clay Mathematics Institute. Retrieved 2026-11-01.
↑ "On the Navier–Stokes Millennium Prize Problem". OpenAI. 2026-10-29. Retrieved 2026-11-01.

[1] Weisstein, Eric W. "Navier-Stokes Equations". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-11-01.

[2] "Navier-Stokes Equation". Clay Mathematics Institute. Retrieved 2026-11-01.

[3] "Rules for the Millennium Prize Problems". Clay Mathematics Institute. Retrieved 2026-11-01.

[4] "The Millennium Prize Problems". Clay Mathematics Institute. Retrieved 2026-11-01.

[5] "On the Navier–Stokes Millennium Prize Problem". OpenAI. 2026-10-29. Retrieved 2026-11-01.

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