Make a list of distinct prime numbers, using the hexadecimal digits 1,3, 5, 7, 9, B, D, F exactly once each in the list. What is the minimum sum of all the numbers in such a list? What's the minimum product of all the numbers in such a list?
Bonus Question:
Make a list of distinct prime numbers, using the hexadecimal digits from 1 to F exactly once each in the list. What is the minimum sum of all the numbers in such a list? What's the minimum product of all the numbers in such a list?
Note: Think of this problem as an extension of Pretty Potent Primes.