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

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

2009-09-29

arxiv.org/abs/0909.5452v1

Mathematics

Number Theory

Scientific paper

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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