Beal’s Conjecture on the Polynomials with Root of Powers

Abstract

In this paper I present a polynomial different from of Euler, Genochi, Bernoulli and Bernstein. Ere different because each of them has a specific purpose is to say that each of these polynomials corresponds to a power of an integer and therefore exist as many polynomials as powers of integers. These polynomialsa are characterized by the same source (generatriz) and for this reason it is shown that: the sum of two such polynomials never is a third polynomial root corresponding to a power of an integer. This shows absolutely, Beal’s conjecture and again on T. Fermat. I think both Pierre Fermat and Andrew Beal were aware of these polynomials before stating his conjecture.