http://www.claymath.org/poincare/
There are 7 problems (now 6) that if you prove the answer to, you win a million dollars. You probably get more, but you are garaunteed a million. Here is the story of a guy who proved this theory 6 years ago. It was so complicated, it took this long for other people to prove it correct.
Now, go solve the rest of em.
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