Millennium Prize

The Millennium Prize is the award the Clay Mathematics Institute offers for solving any of seven major open problems in mathematics.

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The Millennium Prize is the award the Clay Mathematics Institute announced in 2000 for solving any of seven major open problems, known as the Millennium Prize Problems. They include the Riemann hypothesis, the P versus NP problem and the existence and smoothness of solutions to the Navier-Stokes equations.

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The institute offers a $1 million Millennium Prize to whoever proves or resolves the problem.

None of these results claims a $1 million Millennium Prize from the Clay Mathematics Institute, since the prizes require complete proofs.

He also described a recent advanced-model result as a solution to one of the Millennium Prize Problems, the one involving the Navier-Stokes equations.

OpenAI’s September 2026 claim about the Navier-Stokes Millennium Prize Problem rests on a specific mathematical construction: a fluid velocity field that become…


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