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On Fermat's Last Theorem for odd prime exponents

2023/04/01 by Zenon B. Batang, Batang, Zenon B.
Mathematics · #11D41 (Primary) 11A07 (Secondary) #Combinatorics #Coprime integers #Danskin's theorem #Discrete mathematics #FOS: Mathematics #Fermat number #Fermat's Last Theorem #Fermat's little theorem #General Mathematics (math.GM) #History and Theory of Mathematics #Mathematics #Picard–Lindelöf theorem #Prime (order theory) #Pure mathematics #Regular prime #Wieferich prime

paper · pdf · doi:10.48550/arxiv.2304.00230

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2023/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Fermat equation xp + yp = zp has no solutions in coprime positive integers x, y, z for any odd prime p.

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