Fermat's Last Theorem asserts that if *n* is an integer larger than 2, then the equation *a ^{n}* +

*b*=

^{n}*c*has no solution for which

^{n}*a*,

*b*, and

*c*are integers larger than zero.

The theorem is due to Pierre de Fermat (1601-1665), a French judge living in Toulouse, who made the conjecture 350 years ago.