Year: 2024
Type: article
Abstract: In this paper, the possibility of finding a simple proof of Fermat’s Last Theorem is discussed by using the principles of elementary algebra instead of using the Modularity theorem. For an odd prime n the Fermat’s diophantine equation xn = yn + zn gives rise to an equation of (n − 1)th degree which can be proved to be irreducible over the field Q of rational real numbers by using Eisenstein’s criterion. This proves the theorem for any odd prime n. For n = 4 we use a method of reductio-ad-absurdum to prove the theorem. Finally, we deduce Beal’s conjecture.
Author: Chandramohanan MR
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4404824196