Remark

Pierre de Fermat (1601-1665) was a French magistrate who was very interested in mathematics. He is especially known for the statement that there are no nonzero integer solutions x, y and z to the equation

xn + yn = zn

when n is an integer greater than 2. (For n = 2 there are lots of solutions, see Exercise 11 of the next chapter.)

Fermat wrote this statement in the margin of a book and claimed to have proved it. Although many mathematicians have tried to prove this statement, it took more than 300 years before a rigorous proof was found. In 1994, Andrew Wiles finally came up with a proof, that uses very deep and advanced mathematics. Whether Fermat really proved the statement is still unclear.
Andrew Wiles