Emirp

Emirps are prime numbers where its palindrome is also a prime number.

Example
13 and 31 are emirps.

13 is a prime number, while its palindrome, 31 is also a prime number.

List to 1000
13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157, 167, 179, 199, 311, 337, 347, 359, 389, 709, 733, 739, 743, 751, 761, 907, 9

Emirps have to be prime numbers. They are defined to be prime numbers.

Emirps are permutable primes with its palindrome.

Emirps must not be palindromic prime. For example, 11 is a prime number and is a palindrome with itself. Therefore, 11 is not a permutable prime and is not an emirp.

Emirps do not start or end with these digits: 2, 4, 5, 6, 8, and 0, because if they end with them, they are either palindromic primes (2 and 5) or composite numbers (the others). If they start by these digits, their palindrome must be composite.