OpenAI JUST solved math....

Summary Wes Roth analyzes OpenAI’s announcement claiming a solution to the Navier–Stokes Millennium Prize problem (finite-time blowup under smooth forcing) generated by an unreleased internal model using a multi-agent swarm. He reviews the controversy and priority dispute surrounding independent mathematician Tristan Buckmaster and Anthropic employee Levent Alpoge, contrasting their work with OpenAI’s stated timeline, compute expenditure, and methods.

What is shown

• [00:00] OpenAI’s post on X announcing their solution to the Navier–Stokes existence and smoothness problem using an internal next-generation model more capable than GPT-6 Astra.
• [02:06] Drawing board diagram illustrating Navier–Stokes, fluid motion in a cup, finite-time singularity/blowup, Euler equations, and external forcing.
• [03:51] Overview of the Clay Mathematics Institute’s Millennium Prize Problems page.
• [05:21] OpenAI research blog post dated September 8, 2026, titled “On the Navier-Stokes Millennium Prize Problem”, showing the Lean formalization announcement and performance benchmark chart against GPT-6 Astra.
• [10:55] Diagrams and descriptions of the vortex spiral mechanism resulting in finite-time singularity.
• [12:45] Overview of Tristan Buckmaster, Diego Córdoba, and Luis Martínez-Zoroa’s prior research on fluid blowup.
• [13:18] Levent Alpoge’s profile on X and Buckmaster’s public statement describing their independent work and timeline using LLMs.
• [20:00] Buckmaster’s statement detailing communications with OpenAI researcher Sébastien Bubeck and claims regarding OpenAI’s agent workflow.
• [22:51] OpenAI’s blog post section on concurrent work and data access statements.
• [25:10] Whiteboard diagram mapping the lineage of the research from Córdoba & Martínez-Zoroa to Buckmaster/Alpoge and OpenAI.
• [31:30] Posts on X from Sam Altman, Sébastien Bubeck (including shared text messages with Alpoge), Noam Brown, and Sholto Douglas regarding authorship, coordination, and plagiarism allegations.

Claims & numbers

• OpenAI claims its internal model group arrived at a Lean-formalized Navier–Stokes blowup solution in 88 hours using roughly 10,000 coordinating AI agents (the presenter notes this consumed approximately 300 billion output tokens and $22 million in compute).
• The presenter notes the Navier–Stokes problem has been open for roughly 90 years and carries a $1,000,000 Millennium Prize from the Clay Mathematics Institute.
• According to Buckmaster’s statement, he and Alpoge obtained finite-time blowup results for Boussinesq, 3D incompressible Euler, and hypo-dissipative Navier–Stokes, with Euler verified in Lean on August 22, 2026, assisted by Claude, OpenAI Codex, GPT-5.6 Sol, and Astra.
• OpenAI started training its new internal model on August 28, 2026, and stated they completed their proof and Lean verification on September 6, 2026.
• OpenAI stated their researchers had no research-level expertise in fluid dynamics and did not view Buckmaster and Alpoge’s unpublished drafts before completing their proof.

Notable quotes

• [01:07] “And six days later, $22 million later, 300 billion output tokens later... we have it: the solution to the Navier–Stokes Millennium Prize problem.”
• [18:24] “In fact, a lot of things here I think is kind of like a glimpse into the future because the speed at which AI can do things really puts pressure on everyone else that’s used to kind of going at a slower pace.”
• [33:30] “To be very clear: an internal model produced a proof (both formal and informal) of NS with very little human input, BUT it is of the utmost importance to us to recognize YOUR priority and that all the academic accolades for this historic result goes to you and Tristan.” (Quoting Sébastien Bubeck’s text message shown at [33:28]).

Assessment This is a third-party commentary and news breakdown analyzing OpenAI’s paper release and the ensuing priority dispute on social media. The presenter does not independently verify the underlying mathematical proofs or claims of data contamination, relying entirely on public statements, blog posts, and text messages published by OpenAI, Sam Altman, Sébastien Bubeck, and Tristan Buckmaster.

Described by gemini-3.8-flash on 2026-10-08 from the video’s audio and frames.