x.com/Dr_Singularity/status/2097746969212981732
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3. Navier-Stokes Existence and Smoothness - solved by OpenAI
This overstates the current status. As of September 9, 2026, the Clay Mathematics Institute still lists the Navier-Stokes Millennium problem as unsolved, and its rules require publication, a two-year wait, and general acceptance before a proposed solution can be considered.
Full reasoning
The post presents OpenAI as having already solved the Navier–Stokes Millennium Prize Problem. That is not the problem’s accepted status.
The Clay Mathematics Institute (CMI), which defines and administers the Millennium Prize Problems, still labels the Navier-Stokes Equation page "Unsolved" and says there is still "no proof for the most basic questions one can ask" about existence and uniqueness. CMI’s official prize rules also say it will not even consider a proposed solution unless all three conditions are met: (1) publication in a qualifying outlet, (2) at least two years since publication, and (3) general acceptance in the global mathematics community.
So even if OpenAI has released a claimed proof, that does not make the Millennium problem already solved in the established mathematical sense used here. The accurate description on September 9, 2026 is that OpenAI has claimed or shared a proposed solution, not that the problem is already solved by OpenAI.
2 sources
- Navier-Stokes Equation - Clay Mathematics Institute
Home - Millennium Problems - Navier-Stokes Equation Unsolved ... However, there is no proof for the most basic questions one can ask: do solutions exist, and are they unique?
- Rules for the Millennium Prize Problems - Clay Mathematics Institute
Before CMI will consider a proposed solution, all three of the following conditions must be satisfied: (i) the proposed solution must be published in a Qualifying Outlet ... (ii) at least two years must have passed since publication, and (iii) the proposed solution must have received general acceptance in the global mathematics community