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

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

[1] Simon Singh, „Fermat‟s Last Theorem” Fourth Estate Ltd, (1997)
[2] A.Jackson, “Fermat‟s Enigma” Review in AMS (1997).
[3] H.M.Edward,”Fermat‟s Last Theorem – a genetic introduction to the Number Theorey, Germany,Springer,(1997).
[4] S.Wagstaff, AMS Notices, 1976,167,p A-53,244
[5] Andrew Wills, „Modular elliptic curve and Fermat‟s last theorem‟ in Annals of Maths.1995, 141, 443-551.
[6] Gerd Faltings., “ The proof of Fermat‟s Last Theorem by R.Taylor and A.Wills” AMS,1995,42 (7),743-746.
[7] R.Daniel Mauldin, “A generalization of Fermat‟s Last theorem: The Beal conjecture and prize problem” in AMS, 1997, 44,1436-39
[8] Golden G.Nyambuya, “A simple and general proof of Beal conjecture” in Adv.in Pure. Maths, 2014, 4,518-521.
[9] wimhessellink.nl/fermat/WilesEnglish.htm.

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