Fermat’s last theorem, cracked by Andrew Wiles

Fermat’s last theorem states that there are no solutions for X, Y and Z to the equation Xn + Yn = Zn for n>2 where X, Y and Z are natural numbers. For the value n=2 the equation changes to Pythagoras theorem and hence there are infinite number of solutions. The proof of this solution turned out to be illusive for mathematicians and it continued to be unsolved for a few centuries. The theorem was first proposed by Fermat in 1637 in the margin of Arithmatica as a hand written note. It remained unsolved for 358 years and finally solved by Andrew Wiles in 1994-1995 when he published the proof for Taniyama–Shimura conjecture which in turn also proved Fermat’s last theorem.

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