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Some equations with features of digit reversal and powers
Published Web Location
https://arxiv.org/pdf/1602.06320.pdfNo data is associated with this publication.
Abstract
In this paper we consider integers in base 10 like $abc$, where $a$, $b$, $c$ are digits of the integer, such that $abc^2 - (abc \cdot cba) \; = \; \pm n^2$, where $n$ is a positive integer, as well as equations $abc^2 - (abc \cdot cba) \; = \; \pm n^3$, and $abc^3 - (abc \cdot cba) \; = \; \pm n^2$ We consider asymptotic density of solutions. We also compare the results with ones with bases different from 10.
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