On the exponential Diophantine equation x²+p^mqⁿ=2y^p

2023/08/24 by Kalyan Chakraborty, Chakraborty, Kalyan, Azizul Hoque +1
Mathematics · #History and Theory of Mathematics #Algebraic Geometry and Number Theory #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.2308.12708

Abstract

We study the exponential Diophantine equation x²+p^mqⁿ=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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