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Title: | On $d$-digit palindromes in different bases: The number of bases is unbounded | Authors: | Bašić Bojan | Keywords: | Palindrome; number base | Issue Date: | 2012 | Journal: | International Journal of Number Theory | Abstract: | The following problem was posed in [E. H. Goins, Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins, \emph{Integers} \textbf{9} (2009), 725--734]: ``What is the largest list of bases $b$ for which an integer $N\geqslant 10$ is a $d$-digit palindrome base $b$ for every base in the list?" We show that it is possible to construct such a list as large as we please. Furthermore, we show that it is possible to construct such arbitrarily large list for \emph{any} given $d$. | URI: | https://open.uns.ac.rs/handle/123456789/27943 | ISSN: | 1793-0421 |
Appears in Collections: | PMF Publikacije/Publications |
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