Make a list of distinct prime numbers, using the decimal digits from 0 to 9 exactly twice 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? (None of the primes may admit leading zeroes).

Bonus Question:

Make a list of distinct prime numbers, using the duodecimal digits from 0 to B exactly twice 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? (None of the primes may admit leading zeroes).

Note: Think of this problem as an extension of Pretty Potent Primes.

(In reply to re: A possible start! by Dej Mar)

Edited on February 4, 2009, 2:24 pm

Posted by K Sengupta on 2008-12-11 05:49:37