July 22, 2024Open Access

On the exponential Diophantine equation x²+pᵐqⁿ=2yᵖ

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Resumen

We study the exponential Diophantine equation x²+pᵐqⁿ=2yᵖ 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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Cite This Study

Chakraborty et al. (Mon,) studied this question.

synapsesocial.com/papers/68e5f858b6db64358758ca9e https://doi.org/https://doi.org/10.53733/345

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