Millennium Problems

Millennium Problems

The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000. As of November 2012, six of the problems remain unsolved. A correct solution to any of the problems results in a US$1,000,000 prize (sometimes called a Millennium Prize) being awarded by the institute. The Poincaré conjecture, the only Millennium Prize Problem to be solved so far, was solved by Grigori Perelman, but he declined the award in 2010.

The seven problems are:

  1. P versus NP problem
  2. Hodge conjecture
  3. Poincaré conjecture (solved)
  4. Riemann hypothesis
  5. Yang–Mills existence and mass gap
  6. Navier–Stokes existence and smoothness
  7. Birch and Swinnerton-Dyer conjecture

Read more about Millennium ProblemsP Versus NP, The Hodge Conjecture, The Poincaré Conjecture (proven), The Riemann Hypothesis, Yang–Mills Existence and Mass Gap, Navier–Stokes Existence and Smoothness, The Birch and Swinnerton-Dyer Conjecture, Works

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