Fermat equation

This article is about an exponential Diophantine equation: a Diophantine equation/problem that involves one or more variables in the exponent.
View a complete list of exponential Diophantine equations

Statement

The Fermat equation is:

$x^{n}+y^{n}=z^{n}$.

Fermat's last theorem (conjectured by Fermat, proved by Wiles) is that for $n\geq 3$, and $xyz\neq 0$, the equation has no solutions.