# Algebraic Proof II- Fermat's Last Theorem

• James E. Joseph Howard University

### Abstract

In 1995, A, Wiles announced, using cyclic groups, a proof of Fermat's Last Theorem, which is stated as follows: If $$\pi$$ is an odd prime and $$x, y, z$$ are relatively prime positive integers, then $$z^\pi\not=x^\pi+y^\pi.$$ In this note, a proof of this theorem is offered, using elementary Algebra. It is proved that if  $$\pi$$ is an odd prime and $$x, y, z$$ are positive inyegera satisfying  $$z^\pi=x^\pi+y^\pi$$,  then $$x, y,$$ and $z$ are each divisible by $$\pi$$.