Problem 249
Prime Subset Sums

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.

These problems are part of Project Euler and are licensed under CC BY-NC-SA 2.0 UK