Problem 118
Pandigital prime sets

Using all of the digits 1 through 9 and concatenating them freely to form decimal integers, different sets can be formed. Interestingly with the set {2,5,47,89,631}, all of the elements belonging to it are prime.

How many distinct sets containing each of the digits one through nine exactly once contain only prime elements?

These problems are part of Project Euler and are licensed under CC BY-NC-SA 2.0 UK