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Pretty Potent Primes II (Posted on 2008-12-09) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
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Solution? | Comment 4 of 5 |
2+3+5+29+61+67+83+401+409+587= 1647
  Posted by Claudio on 2009-07-15 21:38:29
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