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