TITLE:
On a Simpler, Much More General and Truly Marvellous Proof of Fermat’s Last Theorem (I)
AUTHORS:
Golden Gadzirayi Nyambuya
KEYWORDS:
Diophantine Equations, Fermat’s Last Theorem, Fundamental Theorem of Arithmetic
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.1,
January
15,
2016
ABSTRACT: English mathematics Professor, Sir Andrew John Wiles of the University of Cambridge finally and conclusively proved in 1995 Fermat’s Last Theorem which had for 358 years notoriously resisted all gallant and spirited efforts to prove it even by three of the greatest mathematicians of all time—such as Euler, Laplace and Gauss. Sir Professor Andrew Wiles’s proof employed very advanced mathematical tools and methods that were not at all available in the known World during Fermat’s days. Given that Fermat claimed to have had the “truly marvellous” proof, this fact that the proof only came after 358 years of repeated failures by many notable mathematicians and that the proof came from mathematical tools and methods which are far ahead of Fermat’s time, has led many to doubt that Fermat actually did possess the “truly marvellous” proof which he claimed to have had. In this short reading, via elementary arithmetic methods, we demonstrate conclusively that Fermat’s Last Theorem actually yields to our efforts to prove it.