Problem Statement

A   pernicious number   is a positive integer whose   population count   is a prime. The   population count   is the number of   ones   in the binary representation of a non-negative integer.

22   (which is   10110   in binary)   has a population count of   3,   which is prime,   and therefore
22   is a pernicious number.

Let's start with the solution:

pern(n)=isprime(hammingweight(n))
select(pern, [1..36])
select(pern,[888888877..888888888])