The Beal’s Conjecture (Disproved)

K Raja Rama Gandhi,E.A.S Sarma

doi:10.18052/www.scipress.com/bsmass.6.35

Abstract

In this paper, we disprove the Beal’s conjecture by two different proofs.

Highlights

Mathematicians have long been intrigued by Pierre Fermat's famous assertion that Ax+By=Cz isD impossible and the remark written in the margin of his book that he had a demonstration or "proof"
This became known as Fermat's Last Theorem (FLT) despite the lack of a proof
T conclusion is based on the fact that thousands of mathematicians have cumulatively spent many millions of hours over the past 350 years searching unsuccessfully for such a proof It is easy to see that if Ax+By=Cz either A, B, and C are co-prime or, if not co-prime that any common factor could be divided out of each term until the equation existed with co-prime bases

Summary

Introduction

Mathematicians have long been intrigued by Pierre Fermat's famous assertion that Ax+By=Cz isD impossible (as stipulated) and the remark written in the margin of his book that he had a demonstration or "proof". We disprove the Beal’s conjecture by two different proofs. This became known as Fermat's Last Theorem (FLT) despite the lack of a proof. Andrew Wiles proved the relationship in 1994, though everyone agrees that Fermat's proof

Results

Conclusion