OpenAI's claim that 10,000 of its AI agents solved the Navier-Stokes Millennium Problem in 88 hours has drawn criticism from mathematicians who say the resulting proof is technically correct but borde…
OpenAI and unaffiliated mathematicians announced in September 2026 that they used AI to solve one of the seven Millennium Prize Problems, each carrying a $1 million prize, according to an analysis of …
Three mathematicians posted a proof on arXiv showing that OpenAI's claimed solution to the Navier-Stokes problem can never be extended to the full problem, because the method only produces a blowup wh…
OpenAI says an internal model that began training on August 28 has resolved more than 100 long-standing open problems across most areas of mathematics, in addition to a machine-checked solution connec…
OpenAI announced a collaboration with an independent mathematician advisory group to improve how AI shares mathematical results and supports research, following backlash from 771 mathematicians who si…
OpenAI claimed a solution to the Navier–Stokes existence and smoothness problem on 8 September 2026, but mathematician Tristan Buckmaster stated roughly 12 hours earlier that his and Levent Alpöge's a…
OpenAI says an internal AI system has produced a solution to the Navier–Stokes existence and smoothness problem, one of the Clay Mathematics Institute's Millennium Prize Problems that has stood for ov…
OpenAI ran an unreleased general-purpose reasoning model in a 10,000-agent parallel configuration that consumed 130 billion tokens over 88 hours and produced progress on the Navier-Stokes problem, one…
OpenAI told the New York Times it has made "substantial progress" on a second Millennium Prize Problem after claiming a Navier-Stokes solution on September 8, but the company has not named the problem…
OpenAI has publicly acknowledged making "substantial progress" on a second, unnamed Millennium Prize problem, with speculation converging on the Hodge Conjecture, after its September 9-10, 2026 claim …
OpenAI announced on September 8, 2026 that an internal, unreleased model produced a resolution to the Navier-Stokes existence-and-smoothness problem, one of the Clay Mathematics Institute's Millennium…
OpenAI's claim to have solved the Navier-Stokes Millennium Prize Problem in 88 hours using roughly 10,000 AI agents and 130 billion output tokens is being challenged on the grounds that the work may h…
Twenty-five Fields Medal winners, including Terence Tao, Artur Avila and Manjul Bhargava, signed a joint declaration published on September 11, 2026, warning that AI companies and the mathematics comm…
OpenAI has claimed a solution to alternatives C and D of the Navier–Stokes Millennium Prize Problem, according to a blog post analyzing the result. In the same week, two other groups announced finite-…
OpenAI has claimed a proof of the breakdown alternatives for the Navier–Stokes existence and smoothness problem, one of the seven Clay Mathematics Institute Millennium Prize Problems, according to Ope…
OpenAI announced on Tuesday that 10,000 of its AI agents spent 88 hours and millions of dollars in computing to find a scenario in which the Navier-Stokes equations produce an infinite-velocity "blowu…
OpenAI reported substantial progress on the Navier-Stokes existence and smoothness problem, one of the Clay Mathematics Institute's seven Millennium Prize Problems, according to a New York Times repor…
OpenAI said in a statement Wednesday night, reported by the New York Times, that it has made "substantial progress on another Millennium Prize problem" since completing its Navier-Stokes work, without…
OpenAI has published a 166-page proof claiming that a smooth three-dimensional fluid can develop a finite-time singularity while retaining bounded kinetic energy, alongside a public Lean formalization…
OpenAI claimed on Tuesday that it solved the Navier-Stokes existence and smoothness problem, one of the Clay Mathematics Institute's Millennium Problems, using an unreleased AI model 'significantly mo…