Antipalindromic numbers
| dc.contributor.author | Dvořáková, Ľubomíra | |
| dc.contributor.author | Kruml, Stanislav | |
| dc.contributor.author | Ryzák, David | |
| dc.date.accessioned | 2021-11-03T13:13:05Z | |
| dc.date.available | 2021-11-03T13:13:05Z | |
| dc.date.issued | 2021 | |
| dc.date.updated | 2021-11-03T13:13:05Z | |
| dc.description.abstract | Everybody has certainly heard about palindromes: words that stay the same when read backwards. For instance, kayak, radar, or rotor. Mathematicians are interested in palindromic numbers: positive integers whose expansion in a certain integer base is a palindrome. The following problems are studied: palindromic primes, palindromic squares and higher powers, multi-base palindromic numbers, etc. In this paper, we define and study antipalindromic numbers: positive integers whose expansion in a certain integer base is an antipalindrome. We present new results concerning divisibility and antipalindromic primes, antipalindromic squares and higher powers, and multi-base antipalindromic numbers. We provide a user-friendly application for all studied questions. | en |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | Acta Polytechnica. 2021, vol. 61, no. 3, p. 428-434. | |
| dc.identifier.doi | 10.14311/AP.2021.61.0428 | |
| dc.identifier.issn | 1210-2709 (print) | |
| dc.identifier.issn | 1805-2363 (online) | |
| dc.identifier.uri | http://hdl.handle.net/10467/98377 | |
| dc.language.iso | eng | |
| dc.publisher | České vysoké učení technické v Praze | cs |
| dc.publisher | Czech Technical University in Prague | en |
| dc.relation.ispartofseries | Acta Polytechnica | |
| dc.relation.uri | https://ojs.cvut.cz/ojs/index.php/ap/article/view/6836 | |
| dc.rights | Creative Commons Attribution 4.0 International License | en |
| dc.rights.access | openAccess | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.title | Antipalindromic numbers | |
| dc.type | journal article | en |
| dc.type.status | Peer-reviewed | |
| dc.type.version | publishedVersion | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | b85f66e9-1e11-4220-934e-76f4507f5aff | |
| relation.isAuthorOfPublication.latestForDiscovery | b85f66e9-1e11-4220-934e-76f4507f5aff |