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Turkish Journal of Mathematics

Abstract

In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.

DOI

10.3906/mat-1810-130

Keywords

Pell numbers, linear form in logarithms, reduction method

First Page

1640

Last Page

1649

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