Almost all palindromes are composite

Mathematics – Number Theory

Scientific paper

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19 pages

Scientific paper

We study the distribution of palindromic numbers (with respect to a fixed
base $g\ge 2$) over certain congruence classes, and we derive a nontrivial
upper bound for the number of prime palindromes $n\le x$ as $x\to\infty$. Our
results show that almost all palindromes in a given base are composite.

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