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

eng Science and Education Publishing American Journal of Mathematical Analysis 2333-8431 2019-12-10 7 1 15 16 10.12691/ajma-7-1-3 AJMA2019713 article A Review of Buya’s Proof of Beal’s Conjecture and Simple Proof of Fermat's Last Theorem Samuel Bonaya Buya sbonayab@gmail.com 1 Mathematics/ Physics Teacher, Ngao Girls’ Secondary School 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. http://pubs.sciepub.com/ajma/7/1/3/ajma-7-1-3.pdf Beal's conjecture Fermat's last theorem proof