Prime Subset Sums
Let $S = \{2, 3, 5, \dots, 4999\}$ 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.
Let $S = \{2, 3, 5, \dots, 4999\}$ 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.