The Millennium problems are a collection of seven mathematical problems stated by the Clay Mathematics Institute on $24$ May $2000$.
Each carries a prize of $\$1 \, 000 \, 000$ (US dollars).
Six of them remain unsolved.
They are as follows:
- P versus NP
- The Hodge Conjecture
- The Poincaré Conjecture (the only one of the seven to be solved)
- The Riemann Hypothesis
- Yang-Mills Existence and Mass Gap
- Navier-Stokes Existence and Smoothness
- The Birch and Swinnerton-Dyer Conjecture
Also known as
Can also be referred to as the Millennium Prize problems.
- Results about the Millennium Problems can be found here.
- 2002: Keith Devlin: The Millennium Problems
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Entry: Millennium Prize problems
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Entry: Millennium Prize problems