Inspired by Problem 249 of Project Euler. https://projecteuler.net/problem=249
Let S = {2, 3, 5, ...} be the set of prime numbers less than N.
Find the number of subsets of S, the sum of whose elements is a prime number. Enter the rightmost 16 digits as your answer. The answer must be a uint64 integer.
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The tip for this one is that It is possible to solve it within MATLAB's precision by using mod(x,10^16). No need for Java or Python (arbitrary-precision arithmetic).
At least those four lookup solutions inspired me to squeeze a bit harder to get down to 61.