Fermat Last Theorem

$latex \mbox {FLT:} \: x^n + y^n = z^n$ x,y,z integers.
$latex \mbox {If n} > 2 => \mbox {no solution for (x,y,z)} $

Proof:

Reduce n to 2 categories:

1. n |4:

Fermat proved n=4.

2. n not |4 => n|p, (p odd prime).

n=3 proved since 1770.

Conclude:

Prove FLT no solution for (n> 2) <=> Prove for  (odd primes p≥ 5)