2019American journal of mathematical analysisOpen access

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

Samuel Bonaya Buya

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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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What this paper is about

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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Available 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.

Key concepts: Fermat's Last Theorem, Mathematics, Wieferich prime, Number theory, Fermat's little theorem, Beal's conjecture, Coprime integers, Fermat number

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