Proving Fermat's Last Theorem

A documentary on one of the greatest breakthroughs in 20th century mathematics.
From Wikipedia: Fermat's Last Theorem is strikingly different and much more difficult to prove than the analogous problem for n = 2, for which there are infinitely many integer solutions called Pythagorean triples (and the closely related Pythagorean theorem has many elementary proofs). That the problem's statement is understandable by schoolchildren makes it all the more frustrating, and it has possibly generated more incorrect proofs than any other problem in the history of mathematics. No correct proof was found for 357 years, until one was finally published by Andrew Wiles in 1995.

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