noun Mathematics.
- the unproved theorem that the equation xn + yn = zn has no solution for x, y, z nonzero integers when n is greater than 2.
noun
- (in number theory) the hypothesis that the equation x n + y n = z n has no integral solutions for n greater than two
- A theorem stating that the equation an + bn = cn has no solution if a, b, and c are positive integers and if n is an integer greater than 2. The theorem was first stated by the French mathematician Pierre de Fermat around 1630, but not proved until 1994.