Fermat's last theorem

Fermat's last theorem (sometimes abbreviated as FLT and also called Fermat's great theorem) is one of the most famous theorems in the history of mathematics. It states that:

Notes

• {{note|eqn}} There are infinitely many positive natural numbers a, b, and c such that $a^n\; +\; b^n\; =\; c^\{n+1\}\; ;$ in which n is any natural number.
• {{note|simple}} If n is not an odd prime number, nor 4, it has factors that are one of those. Let any such factor be p, and let m be n/p. Now we can express the equation as $(a^m)^p\; +\; (b^m)^p\; =\; (c^m)^p$. If we can prove the case with exponent p, exponent n is simply a subset of that case.