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Pentagonal and heptagonal repdigits

Kafle, Bir and Luca, Florian and Togbé, Alain (2020) Pentagonal and heptagonal repdigits. Annales Mathematicae et Informaticae, 52. pp. 137-145. ISSN 1787-6117

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Abstract

In this paper, we prove a finiteness theorem concerning repdigits represented by a fixed quadratic polynomial. We also show that the only pentagonal numbers which are also repdigits are 1, 5 and 22. Similarly, the only heptagonal numbers which are repdigits are 1, 7 and 55.

Item Type: Article
Uncontrolled Keywords: Pentagonal numbers, heptagonal numbers, repdigits
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Depositing User: Tibor Gál
Date Deposited: 17 Dec 2020 17:27
Last Modified: 03 Apr 2023 07:05
URI: http://real.mtak.hu/id/eprint/118493

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