Fermat's Last Theorem

Fermat's Last Theorem states that no three positive integers a, b, and c can satisfy the equation aⁿ + bⁿ = cⁿ for any integer value of n greater than two. The equation is an expansion of the Pythagorean theorem where n = 2 and certain solutions can be found (e.g. a = 3, b = 4, c = 5). In 1637, Pierre de Fermat conjectured that this equation was not true for any positive integer greater than two. In 1995, British mathematician Andrew Wiles presented a final proof for the theorem. His story has been described by the BBC (video below) and is also discussed among experts in BBC radio show In Our Time.