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The strong Fermat-Catalan Equation

Published 22 Sep 2025 in math.NT | (2509.18275v1)

Abstract: We give a cyclotomic proof of the fact that the equation $\frac{xp + yp}{x+y} = pe zq$ has no solutions in coprime integers $x,y,z$ and $p > 3; q$, a pair of distinct odd primes.

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