The strong Fermat-Catalan Equation
Number Theory
2025-09-24 v1
Authors:
Preda Mihailescu
Abstract
We give a cyclotomic proof of the fact that the equation x+yxp+yp=pezq has no solutions in coprime integers x,y,z and p>3;q, a pair of distinct odd primes.
Cite
@article{arxiv.2509.18275,
title = {The strong Fermat-Catalan Equation},
author = {Preda Mihailescu},
journal= {arXiv preprint arXiv:2509.18275},
year = {2025}
}
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