Fermat’s great theorem states that there are no positive integers x, y, and z such that xn + yn = zn in which n is a natural number greater than 2.

A doctor of technical sciences from the Siberian city of Omsk has proved Fermat’s theorem and claims to have a “simple” proof.
In 1995, the English mathematician Andrew Wiles published a proof of this theorem. However, Wiles his proof is beyond the understanding of most mathematicians today whereas Fermat claimed his theorem had a truly marvellous proof. So, math institutes still receive thousands of letters with proofs of Fermat’s theorem.

Well, I know I didn’t understand Wiles’s proof (not that I really tried). However the BBC horizon documentary was fun to watch.
I’m looking forward to have this new proof explained to me.

the story on mosnews.com

The wikipedia on Fermat.