Definition:Millennium Problems

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The Millennium problems are a collection of seven mathematical problems stated by the Clay Mathematics Institute on $24$ May $2000$.

Each carries a prize of $\$1 \, 000 \, 000$ (US dollars).

Six of them remain unsolved.

They are as follows:

  1. P versus NP
  2. The Hodge Conjecture
  3. The Poincaré Conjecture (the only one of the seven to be solved)
  4. The Riemann Hypothesis
  5. Yang-Mills Existence and Mass Gap
  6. Navier-Stokes Existence and Smoothness
  7. The Birch and Swinnerton-Dyer Conjecture

Also known as

Can also be referred to as the Millennium Prize problems.

Also see

  • Results about the Millennium Problems can be found here.