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Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 152860 Total View: 1835371
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
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Article Open Access 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

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

References

[1] M.M. Postnikov Introduction to the theory of algebraic numbers. Moscow, Nauka, 1982.

[2] Book of abstracts Vll International joint conference of the Georgian mathematical & Georgian mechanical union, September 5-9, 2016,Batumi,Georgia, 121-122.

[3] Journal: L. Gavasheli, "Fermat’s great theorem "(Complete prof) – M., Institute of mining them A.A. Skochinsky, 1995, 1-12.

How to cite this paper

"Fermat'S Great Theorem"

How to cite this paper: Levan Gavasheli. (2018). "Fermat'S Great Theorem". Journal of Applied Mathematics and Computation, 2(4), 136-142.

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