Questions tagged [palindrome]

A palindrome is a number or any other sequence of characters which remains the same when it is reversed (read backwards). Questions involving palindromes, or mathematics related to them such as the Lychrel process or Scheherazade numbers.

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Can long numbers be "3-palindromic"?

Question Let $n$ be a number with $d\ge9$ digits when written in number base $b\ge2$. Can $n$ be $3$-palindromic? That is, does there exist $b$, such that $n$ is simultaneously a ...
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Probability of picking $n$ a palindrome

I am struggling to see how to solve this question. My confusion stems from the Less probable, for n plain drones the equation I derived was $9\times10^{\frac{n+1}{2}-1}$ this is under the assumption ...
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Circular Happy Palindromic Primes

$(1)$ A circular prime is a prime number with the property that the number generated at each intermediate step when cyclically permuting its (base 10) digits will be prime. For example, 1193 is a ...
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Is there a palindrome prime $p>3$ that is also palindrome in base $\ 5\$?
A prime $\ p\$ is called palindrome, if the digits in reverse order give the same prime. For bases $\ b=2,3,4\$ , there are large examples of palindrome primes that are also palindrome in base $b$ , ...