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arXiv · 2008.06864

Antipalindromic numbers

Lubomira Dvorakova·Stanislav Kruml·David Ryzak
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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.

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Lubomira Dvorakova, Stanislav Kruml, David Ryzak. 2020-08-16. Antipalindromic numbers. https://arxiv.org/abs/2008.06864

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