2013년 7월 12일 금요일

A Short and Plain Proof of Fermat`s Last Theorem

A Short and Plain Proof of Fermat`s Last Theorem
A Short and Plain Proof of FLT.pdf


목차
1. Preface
2. Introduction
3. Xn+Yn=Zn cannot have the positive integer solutions in the odd n>2.
4. Xn+Yn=Zn cannot have the positive integer solutions in the even n>2.
5. Conclusion

본문
The Pythagorean triples are the positive integer solutions to the Pythagorean Theorem, X2+Y2=Z2.
The Fermats Last Theorem states what Xn+Yn=Zn has no non-zero integer solutions for X, Y and Z when n>2. This theorem means what Xn+Yn=Zn cannot have the positive integer solutions. Because we can get Wn+Un=Vn from (-U)n+Vn=Wn in the odd n.
Without loss of generality, we assume what X, Y and Z are relatively prime, i.e., (X,Y)=1, (Y,Z)=1 and (X,Z)=1. Because we can get Xn+Yn=Zn from Un+Vn=Wn, U=QX, V=QY, (QX)n+(QY)n=Wn and W/Q=Z in relatively prime, X, Y and Z.


본문내용
leejaeyul5@yahoo.co.kr
Gyeonggi Safety Company
010-3723-5244
Author2
You Jin Lee
e-mail: jgyoujin@hanmail.net
College of Veterinary Medicine Seoul National University
042-621-4848
Abstract
In this paper, we show the Pythagorean triples and a short and plain Fermats Last Theorem
proof. Fermats Last Theorem asserts what there do not exist none-zero integers,X,Y and Z
such thatX n + Yn = Zn, wheren

참고문헌
BarryCipra. (1994). Straightening out nonlinear codes. What`s happening in Mathematical Sciences. pp. 37-40, vol. 2.

하고 싶은 말
In this paper, we show the Pythagorean triples and a short and plain FLT proof. Fermats Last Theorem asserts what there do not exist none-zero integers, X, Y and Z such that Xn+Yn=Zn, where n>2. The Theorem was first stated by Fermat in the early 1600s. He claimed what he had found a short proof, but left no evidence of what it was. Finding a proof became the most famous unsolved problem in the mathematics until Andrew Wiles, in the late 1990s, found one. The original version of his proof was about 200 pages long, and so the question remains if a much shorter proof exists.
 

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