# 11311

This number is a prime.

The smallest number that is the sum of twice a positive square and a prime in 53 ways. Note it's also a palindromic prime.

The only five-digit number such that its *n*th digit equals the remainder when the number is divided by *n* + 1. [Rupinski]

The smallest palindromic prime whose alternate digits
(**11311**) segregate and reunite to form
two "daughter" palindromic primes (**131** ;
**11**). [Beedassy]

The smallest prime equidistant between the members of an emirp pair: (10321, 12301). Note that 11311 is a reflectable palindromic prime of form "primemirp." [Beedassy]

(There are 4 curios for this number that have not yet been approved by an editor.)

Printed from the PrimePages <t5k.org> © G. L. Honaker and Chris K. Caldwell