There are set of 7 puzzles, which are called as Millennium Prize Problems. These problems belongs to mathematics. But they have considerable impact on the computer science also. These problems were quoted by Clay Mathematics Institute of USA. If you solve any one of these problems, you will be awarded with 1 Million dollars.
Those Seven Problems are
1. P vs NP Problem
2. Hodge Conjecture
3. Poincare Conjecture
4. Riemann Hypothesis
5. Yang- Mills Existence and Mass gap
6. Navier Stokes Existence and Smoothness
7. Birch and Swinnerton- Dyer Conjecture
Out of these 7 problems, one problem was solved by Dr. Grigoriy Perelman of St. Petersburg, Russia last year. He solved the 3 problem i.e Poincare Conjecture. Obviously he will get 1 Million dollars, but he declined to take it.
Do you want $1,000,000, then try your luck here. The details of each problem was available from the portal of Clay Institute.