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:
- P versus NP problem
- Hodge conjecture
- Poincaré conjecture (solved)
- Riemann hypothesis
- Yang–Mills existence and mass gap
- Navier–Stokes existence and smoothness
- Birch and Swinnerton-Dyer conjecture
Read more about Millennium Prize Problems: P 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
Famous quotes containing the words millennium, prize and/or problems:
“At the end of one millennium and nine centuries of Christianity, it remains an unshakable assumption of the law in all Christian countries and of the moral judgment of Christians everywhere that if a man and a woman, entering a room together, close the door behind them, the man will come out sadder and the woman wiser.”
—H.L. (Henry Lewis)
“Far and away the best prize that life offers is the chance to work hard at work worth doing.”
—Theodore Roosevelt (1858–1919)
“Imagination is a valuable asset in business and she has a sister, Understanding, who also serves. Together they make a splendid team and business problems dissolve and the impossible is accomplished by their ministrations.... Imagination concerning the world’s wants and the individual’s needs should be the Alpha and Omega of self-education.”
—Alice Foote MacDougall (1867–1945)