Fermat’s last theorem, a proof based to limit

Abstract

Fermat’s Last Theorem is the most famous mathematical problem of all times. It has never stopped being a challenge for the broader mathematical community, mainly because Wile’s proof1 was based on an extensive mathematical background that was not nearly available in Fermat’s era. In the present work we assume that the Theorem states a true proposition and we end up in a contradiction, proving the theorem holds for large values of n. The method is based on the general concept of the limit as it was presented in the recent work of A.Mazaris.2 This partial proof, in addition to its mathematical and historical value, has another special feature: it is a very brief proof of a problem that has dealt with the international mathematical community for centuries. The simplicity of this approach leaves room for us to include the possibility that this could be close to the line of thinking Fermat himself used when he stated that has come up with a short proof of his proposal.