# Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins

- Published in 2009
- Added on

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We show that there exist exactly 203 positive integers $N$ such that for some integer $d \geq 2$ this number is a $d$-digit palindrome base 10 as well as a $d$-digit palindrome for some base $b$ different from 10. To be more precise, such $N$ range from 22 to 9986831781362631871386899.

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### BibTeX entry

@article{PalindromesinDifferentBasesAConjectureofJErnestWilkins, title = {Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins}, abstract = {We show that there exist exactly 203 positive integers {\$}N{\$} such that for some integer {\$}d \geq 2{\$} this number is a {\$}d{\$}-digit palindrome base 10 as well as a {\$}d{\$}-digit palindrome for some base {\$}b{\$} different from 10. To be more precise, such {\$}N{\$} range from 22 to 9986831781362631871386899.}, url = {http://arxiv.org/abs/0909.5452v1 http://arxiv.org/pdf/0909.5452v1}, year = 2009, author = {Edray Herber Goins}, comment = {}, urldate = {2019-09-14}, archivePrefix = {arXiv}, eprint = {0909.5452}, primaryClass = {math.NT}, collections = {easily-explained,fun-maths-facts,integerology} }