Published April 30, 2026 | Version CC-BY-NC-ND 4.0
Journal article Open

Unveiling an Elementary Proof for Fermat's Last Theorem

Authors/Creators

  • 1. Retired Executive Engineer, Energy Conservation Cell, Tamil Nadu State Electricity Board, Anna Salai, Chennai (Tamil Nadu), India.

Description

Abstract: This paper presents a straightforward and elementary proof of Fermat's Last Theorem (FLT), asserting that there are no integer solutions to 𝒂 𝒏 + 𝒃 𝒏 = 𝒄 𝒏 for 𝒏 > 𝟐. Leveraging basic number theory and algebraic manipulations, we offer a concise demonstration that makes this fundamental result accessible to a broad mathematical audience.

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Additional details

Identifiers

DOI
10.54105/ijam.A1239.06010426
EISSN
2582-8932

Dates

Accepted
2026-04-15
Manuscript received on 02 February 2026 | First Revised Manuscript received on 21 February 2026 | Second Revised Manuscript received on 22 March 2026 | Manuscript Accepted on 15 April 2026 | Manuscript published on 30 April 2026.

References

  • Hardy G. H. and Wright E. M., An introduction to the theory of numbers, VI Edition. Oxford University Press, 2008, pp. 261-586., https://dx.doi.org/10.1080/00107510903084414, works remain significant, see declaration
  • Lawrence C. Washington, Elliptic Curves, Number Theory and Cryptography. Second Edition, Boca Raton, London, New York: Lawrence Chapman & Hall/CRC, Taylor & Francis Group, 2003, pp. 445-448., https://doi.org/10.1201/9781420071474, works remain significant, see declaration
  • Andrew Wiles, Modular Elliptic Curves and Fermat's Last Theorem, Annals of Mathematics, 1995; 141(3); 443–551. DOI: https://doi.org/10.2307/2118559, works remain significant, see declaration
  • 13 Lectures on Fermat's Last Theorem by Paulo Ribenboim, Publisher: Springer, New York, originally published in 1979, pages 159. DOI: https://doi.org/10.1007/978-1-4684-9342-9, works remain significant, see declaration