On the exponential Diophantine equation $x^2+p^mq^n=2y^p$

Published 24 Aug 2023 in math.NT | (2308.12708v1)

Abstract: We study the exponential Diophantine equation $x^{2+p^{mq^{n=2y^p$}}} in positive integers $x,y,m,n$, and odd primes $p$ and $q$ using primitive divisors of Lehmer sequences in combination with elementary number theory. We discuss the solvability of this equation.

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