Did have Fermat the solution? An elementary proof of his Last Theorem

TL;DR

This paper provides an elementary proof of Fermat's Last Theorem that does not rely on any auxiliary results, directly leading to a contradiction in the set of integers.

Contribution

It introduces a novel elementary proof of Fermat's Last Theorem that avoids traditional complex methods and auxiliary results.

Findings

Elementary proof of Fermat's Last Theorem established

Proof directly derives contradiction in integer solutions

No auxiliary results or advanced theorems used

Abstract

We present an elementary proof of Fermat's Last Theorem. No ancillary results are used, not even the most basic ones. The proof directly leads to a contradiction of the Fermat equation in the set of integers.