Primal Sums (James J. Youlton Jr)Discuss about this problem
Select 20 distinct positive integers that generate the most primes out of all the combinations of sums of the integers.
Integers must be below 2^31-1, or if that seems too easy, set a limit of, say, 2^50-1.
An optional second part could require the integers to all be prime (Primal Sums of Primes).