Abstract

We attempt to prove the Fermat’s Last Theorem by a simple method consisted in transforming the relation b^m=(a+n)^m-a^m into an equation in n by introduction of a parameter ɷ depending in a,n such that b=omega^(m(m-1)) then equalizing in b^m these two relations.  Afterward, exploiting the condition that this equation must have only one root so that the coefficients of powers of n^i must have alternating signs, we arrive to conclude that the equation in n has roots only for m=1,2 and no root for m>2 thus prove the theorem.

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