2017•Mathematics LettersOpen access

An Elementary Proof of Fermat’s Last Theorem

John Sherrill

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Abstract

This paper presents an elementary proof of Fermat’s Last Theorem using mathematics that was available to Fermat. It shows that equation an = bn + cn has no solution in natural numbers if a is prime or a power of a prime then uses that result to present a general proof.

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This paper presents an elementary proof of Fermat’s Last Theorem using mathematics that was available to Fermat. It shows that equation an = bn + cn has no solution in natural numbers if a is prime or a power of a prime then uses that result to present a general proof.

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Available abstract

This paper presents an elementary proof of Fermat’s Last Theorem using mathematics that was available to Fermat. It shows that equation an = bn + cn has no solution in natural numbers if a is prime or a power of a prime then uses that result to present a general proof.

Key concepts: Fermat's Last Theorem, Fermat number, Mathematics, Fermat's little theorem, Elementary proof, Regular prime, Proofs of Fermat's little theorem, Number theory

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