Over at the μtoast the blogger Attila Oláh described an in interesting property of primes in Highly palindromic primes.

In his post Atilla explores the question "How palindromic is a prime number?". For a prime \(p\) he inspects all the representations in meaningful bases i.e. all bases from 1 to \(p-1\). Attila then counts the number of representations which are palindromes.

In the search for higly palindromic primes, Atilla lists 291721. It is a prime number which is palindromic in 16 bases. I found several highly palindromic primes which are palindromes in 17 bases, and one prime which is a palindrome in 18 bases.

The primes I found which are palindromes in 17 bases are: 950041, 960961, 1062601, 1108801. The prime which is a palindrome in 18 bases is: 1259701.

Which higly palindromic primes can you find?

## No comments:

## Post a Comment