# Mystery Of The Permutable Primes

A prime number $$p$$ is a permutable prime if for all permutations of the digits of $$p$$ is also prime.

How many 2-digit permutable primes are there?

Details and Assumptions:

• For example 113, 131 and 311 are all prime and this consists of all the permutations of 113, so they are all permutable primes.

• Assume that we are only looking at numbers within a base 10 representation.

×