OpenAI says an unreleased AI model produced a proof addressing the Navier-Stokes existence and smoothness problem, one of the seven Millennium Prize math problems, completing the work in 88 hours. The proof reportedly identifies a scenario where the fluid-dynamics equations break down mathematically, though researchers stress this doesn't mean real fluids like water would physically behave that way.
science.slashdot.org
· 2026-09-09
OpenAI announced on 8 September that its latest AI model produced a proof showing that the Navier-Stokes equations, which model fluid motion, can break down and predict a fluid reaching infinite speed in finite time. This addresses one of the seven unsolved Clay Mathematics Institute Millennium Problems, which carries a $1 million prize for a full solution. OpenAI researchers say they focused their AI on this problem after hearing that two academic mathematicians were close to solving related aspects.
nature.com
· 2026-09-08