Antipalindromic numbers
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, multibased 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 multibased antipalindromic numbers. We provide a user-friendly application for all studied questions.
Cite
@article{arxiv.2008.06864,
title = {Antipalindromic numbers},
author = {Lubomira Dvorakova and Stanislav Kruml and David Ryzak},
journal= {arXiv preprint arXiv:2008.06864},
year = {2020}
}