Clay Mathematics Institute says Navier-Stokes has 'apparently been settled' and is under review

The Clay Mathematics Institute has officially addressed the claimed Navier-Stokes solution, saying the problem has apparently been settled. Navier-Stokes is one of seven Millennium Prize Problems announced in Paris in 2000, each carrying a $1 million award. It asks whether the equations governing fluid motion in three-dimensional space always have a smooth, complete solution. The institute says the solution is now under review and that the process is deliberately unhurried, though it will provide updates. It adds that it hopes to see waves of new human understanding unleashed as the innovations behind the work are analyzed and interrogated, and notes that the increasing ability of new technologies to accelerate mathematical research has heightened the sense of anticipation. The statement does not resolve the dispute over credit. Mathematician Tristan Buckmaster accuses OpenAI of redirecting resources toward the problem after rumors about his research leaked, of using his drafts in training data, and of rejecting his co-author Levent Alpöge, who works at Anthropic, from authorship. The institute's acknowledgment matters because it is the body that would award the prize, and its careful wording confirms that a formal verification is underway without endorsing any party's claim to the result.