## Journal of Applied Mathematics and Computation

 ISSN Print: 2576-0645 Downloads: 94927 Total View: 1436364 Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ Email: jamc@hillpublisher.com

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Article http://dx.doi.org/10.26855/ jamc.2018.04.003

# “Fermat’S Great Theorem”

Levan Gavasheli*
1Academy of physical and mathematical sciences, President, Georgia, 0171
*Corresponding author: Levan Gavasheli
Email: levan_gavasheli@yahoo.com
Published: April 14,2018

## Abstract

The work contains a complete proof of the "Fermat’s great theorem" farm elementary methods, which is approved by well-known scholars in the field of number theory, and is intended for all lovers of mathematics. Fermat’s Great Theorem, there do not exist integral numbers  x,y, z  different from zero, for which:

xn+yn=zn      (1)

where n > 2 (it is well known that at n = 2 such numbers exist).

From equation 1 should be

(x+y-z)/n=2λ>0

where λ a positive integer

x+y-z=2λn

As in any set of natural numbers there exists the smallest number, among all such solutions there exists a solution x, y, z with the smallest value of 𝜆. Let us examine this solution in more detail.

By entering these designations in the equation (1), we shall get

(2λn+X1)n+(2λn+y1)n=(2λn+X1+y1)n

## How to cite this paper

"Fermat'S Great Theorem"

How to cite this paper: Gavasheli, L. (2018) "Fermat'S Great Theorem". Journal of Applied Mathematics and Computation, 2(4), 136-142.
http://dx.doi.org/10.26855/ jamc.2018.04.003