Authors: Michael Pogorsky
The theorem is proved by means of general algebra. It is based on deduced polynomials a=uwv+v^n; b=uwv+w^n; c=uwv+v^n+w^n and their modifications required to satisfy equation a^n+b^n=c^n. The equation also requires existence of positive integers u_p and c_p such that a+b is divisible by (u_p)^n and c is product of (u_p)(c_p). Based on these conclusions two versions of proof are developed. One of them reveals that after long division of two divisible by c polynomials obtained remainder is coprime with it. In another version transformation of a^n+b^n into expression that allows to apply the Eisenstein’s criterion reveals a contradiction.
Comments: 9 Pages.
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