# Definition:Millennium Problems

## Definition

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:

1. P versus NP
2. The Hodge Conjecture
3. The Poincaré Conjecture (the only one of the seven to be solved)
4. The Riemann Hypothesis
5. Yang-Mills Existence and Mass Gap
6. Navier-Stokes Existence and Smoothness
7. The Birch and Swinnerton-Dyer Conjecture

## Also known as

Can also be referred to as the Millennium Prize problems.

## Also see

• Results about the Millennium Problems can be found here.