A versatile proof of Fermat‟s last theorem

M.Meyyappan

doi:https://doi.org/10.14445/22315373/IJMTT-V45P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 45 | Number 1 | Year 2017 | Article Id. IJMTT-V45P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V45P503

A versatile proof of Fermat‟s last theorem

M.Meyyappan

Citation :

M.Meyyappan, "A versatile proof of Fermat‟s last theorem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 45, no. 1, pp. 16-21, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V45P503

Abstract

A simple and multi-purpose proof is proposed with well known arithmetic axioms to explain not only the Fermat’s assertion but also the non-existence of square triples (a,b,c) satisfying an + bn = cn for all exponents including n = 2, reason for certain allowed and forbidden relations among equal sum of like powers and Beal conjecture (Mauldin/Tijdeman-Zagier conjecture) altogether successfully in a single frame.

Keywords

Fermat’s Last Theorem - arithmetic axioms equal power relations – Multi-power relation - Beal conjecture.

References

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