Number Theory


Proof of the Fermat's Last Theorem

Authors: Michael Pogorsky

The Fermat’s Last Theorem is proved by means of general algebra in four major steps. a)The expressions for a, b, c of type a=uwv+v^n;b=uwv+w^n; c=uwv+v^n+w^n required to satisfy equation a^n+b^n=c^n deduced for two main versions of the equation. b)The existence of positive integers u_p and c_p such that a+b is divided by u_p^n and c is divided by c_p u_p proved to be required. c)Polynomial a^n+b^n presented through expressions for a and b proved to be a sum of three divisible by c polynomials. d)The long division of one of them w^(n∙n)+v^(n∙n) by either of two other gives remainder not divisible by c. This contradiction proves the Theorem.

Comments: 7 Pages.

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Submission history

[v1] 2012-09-27 09:54:36
[v2] 2013-06-02 11:53:37

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