Union of number 2 and Fermat primes > 3 from A019434; for odd n, numbers 2^n  17 are divisible by 3.
Also primes p of the form 2^n + 12*(1)^n  11 for n >= 0 because for odd n, numbers 2^n  23 are divisible by 3.
Also primes p of the form 2^n + 1/2*(q + 1)*(1)^n  1/2*(q  1) for n >= 0 where q = prime of the form 3m  1 > 29 from A003627 because for odd n, numbers 2^n  q are divisible by 3.
Corresponding values of n: 0, 2, 4, 8, 16, ...
