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Elkies ND (2007). The ABC's of Number theory. The Havard College mathematics Review 1(1).

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Article

A Review of Buya’s Proof of Beal’s Conjecture and Simple Proof of Fermat's Last Theorem

1Mathematics/ Physics Teacher, Ngao Girls’ Secondary School


American Journal of Mathematical Analysis. 2019, Vol. 7 No. 1, 15-16
DOI: 10.12691/ajma-7-1-3
Copyright © 2019 Science and Education Publishing

Cite this paper:
Samuel Bonaya Buya. A Review of Buya’s Proof of Beal’s Conjecture and Simple Proof of Fermat's Last Theorem. American Journal of Mathematical Analysis. 2019; 7(1):15-16. doi: 10.12691/ajma-7-1-3.

Correspondence to: Samuel  Bonaya Buya, Mathematics/ Physics Teacher, Ngao Girls’ Secondary School. Email: sbonayab@gmail.com

Abstract

In this research Buya’s proof of Beal’s conjecture will be reviewed for further improvement. It is shown that for the Beal’s conjecture problem in the case x = y = z = 2 A, B, and C may or may not be coprime. It is shown is shown that if each of the integers x, y, z take values greater 2, then the integers A, B and C share a common factor. In this presentation a simple proof of Fermat's last theorem is also presented using the results of proof of Beal's conjecture. Thus it is shown that Fermat's last theorem is a special case of Beal's conjecture.

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