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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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A possible start! | Comment 1 of 5

No computer, no spreadsheets... just some numbers (decimal 0-9 only, two of each) to get things rolling!

Lowest sum: 2+23+89+109+463+487+557+601 = 2,331

These same numbers might produce the minimum product as well:

2*23*89*109*463*487*557*601 = 33,683,247,440,588,782 

 


  Posted by rod hines on 2008-12-09 18:08:10
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