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:
- 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 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 and/or problems:
“The millennium will not come as soon as women vote, but it will not come until they do vote.”
—Anna Howard Shaw (1847–1919)
“I respect guilt. It is a dangerous but sometimes useful beast. The guilt that made me want to solve all my children’s problems meant trouble. The guilt that made me question my role in our mother-daughter squabbles proved helpful. Yes, I care about my kids’ problems, and I long to make suggestions. But these days I wait for children to ask for help, and I give it sparingly. Some things can’t be fixed, and I tell them so.”
—Susan Ferraro (20th century)