About the Millenium Problems category

Why not have a go at these questions? :smile:

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  • A section you are stuck on, for which you would like some help from the community
  • Some thoughts you may have on how to approach it
  • A section you think you may have a solved and you want to share with others (potentially use spoiler sintax here ( [spoiler]contents go here[/spoiler]) so others don’t accidentally see an answer too early

The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute on May 24, 2000. The problems are the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Poincaré conjecture, Riemann hypothesis, and Yang–Mills existence and mass gap. A correct solution to any of the problems results in a US$1 million prize being awarded by the institute to the discoverer(s).

To date, the only Millennium Prize problem to have been solved is the Poincaré conjecture, which was solved in 2003 by the Russian mathematician Grigori Perelman, who declined the prize money.