An algebraic proof of Fermat's last theorem

  • James Joseph Department of Mathematics Howard University
Keywords: Fermat.

Abstract

In 1995, A, Wiles announced, using cyclic groups, a
proof of Fermat's Last Theorem, which is stated as follows: If
is an odd prime and x; y; z are relatively prime positive integers,
then z 6= x +y: In this note, a proof of this theorem is oered,
using elementary Algebra. It is proved that if is an odd prime
and x; y; z are positive integers satisfying z = x +y; then x; y;
and z are each divisible by :

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References

H. Edwards, Fermat's Last Theorem:A Genetic Introduction to

Algebraic Number Theory, Springer-Verlag, New York, (1977).

A. Wiles, Modular ellipic eurves and Fermat's Last Theorem,

Ann. Math. 141 (1995), 443-551.

A. Wiles and R. Taylor, Ring-theoretic properties of certain

Heche algebras, Ann. Math. 141 (1995), 553-573. ****** Order

C(; k)x

(mod 2)

Published
2015-08-09
How to Cite
Joseph, J. (2015). An algebraic proof of Fermat’s last theorem. Journal of Progressive Research in Mathematics, 4(4), 414-417. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/293
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