Algebraic Proof II- Fermat's Last Theorem

  • James E. Joseph Howard University

Abstract

In 1995, A, Wiles announced, using cyclic groups, a proof of Fermat's Last Theorem, which is stated as follows: If \(\pi\) is an odd prime and \(x, y, z\) are relatively prime positive integers, then \(z^\pi\not=x^\pi+y^\pi.\) In this note, a proof of this theorem is offered, using elementary Algebra. It is proved that if  \(\pi\) is an odd prime and \(x, y, z\) are positive inyegera satisfying  \(z^\pi=x^\pi+y^\pi\),  then \(x, y,\) and $z$ are each divisible by \(\pi\).

 

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Published
2015-08-27
How to Cite
Joseph, J. E. (2015). Algebraic Proof II- Fermat’s Last Theorem. International Journal of Algebra and Statistics, 4(1), 42-45. https://doi.org/10.20454/ijas.2015.967
Section
Articles