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Prime Subset Sums

Problem 249

Published on 13 June 2009 at 05:00 am [Server Time]

Let S = {2, 3, 5, ..., 4999} be the set of prime numbers less than 5000.

Find the number of subsets of S, the sum of whose elements is a prime number.
Enter the rightmost 16 digits as your answer.


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