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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Official URL: https://doi.org/10.33039/ami.2020.09.002
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 |
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| 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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