Live Updates > Live Update Details
2026-09-20 04:10:11
OpenAI is poised for another breakthrough in a Millennium Prize-winning mathematical problem. According to an insider familiar with the research, OpenAI is very close to solving another Millennium Prize-winning problem: the existence and smoothness of solutions to the Navier-Stokes equations. The insider stated that employees generally anticipate a complete solution to the next problem—the Hodge Conjecture. The Hodge Conjecture, proposed by the Clay Mathematics Institute, explores whether the specific geometric properties of a geometric shape defined by a polynomial equation can always be explained by simpler algebraic constructs. The insider also mentioned that OpenAI may need to wait longer before officially announcing the result, and the company is currently exploring how to collaborate with the mathematical community to expedite the release of this achievement, avoiding a repeat of previous public relations controversies.
