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Open Accesshttps://doi.org/10.53733/345
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Cite Journal: New Zealand Journal of Mathematics |  Publication Date: Jul 23, 2024 |
 License type: cc-by |
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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