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Related things - Fermat's last theorem
Clearly Pythagoras's equation x²+y²=z² has an infinite number of integer solutions. Pierre de Fermat (1601-1665) was a French lawyer who asserted that the equation

xn+yn=zn
has no integer solution when n>2. Fermat's own proof has never been found and many experts believe he was mistaken in thinking he had produced a proof. The theorem remained unproved until 1994 when the English mathematician Andrew Wiles produced his famous result.