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Turkish Journal of Mathematics

DOI

10.3906/mat-1808-2

Abstract

In this paper, we show that there is at most one value of the positive integer $X$ participating in the Pell equation $X^2-dY^2=k$, where $k\in\{\pm1,\pm4\}$, which is a Padovan number, with a few exceptions that we completely characterize.

First Page

207

Last Page

223

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Mathematics Commons

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