List of Unsolved Problems in Mathematics - Millennium Prize Problems

Millennium Prize Problems

Of the seven Millennium Prize Problems set by the Clay Mathematics Institute, six have yet to be solved:

  • P versus NP
  • Hodge conjecture
  • Riemann hypothesis
  • Yang–Mills existence and mass gap
  • Navier–Stokes existence and smoothness
  • Birch and Swinnerton-Dyer conjecture.

The seventh problem, the Poincaré conjecture, has been solved. The smooth four-dimensional Poincaré conjecture is still unsolved. That is, can a four-dimensional topological sphere have two or more inequivalent smooth structures?

Read more about this topic:  List Of Unsolved Problems In Mathematics

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