The primes (or 0) occurring in S000908 as the constant k1.

0, 5, 0, 7, 7, 11, 11, 0, 13, 13, 11, 13, 17, 13, 23, 17, 37, 17, 17, 19, 0, 19, 19, 41, 23, 23, 41, 23, 43, 47, 73, 29, 29, 43, 41, 37, 61, 31, 137, 41, 73, 37, 41, 37, 89, 37, 47, 43, 59, 97, 41, 41, 0, 43, 43, 53, 67, 97, 53, 59, 47, 521, 53, 83, 53, 53, 59, 71

1

Some primes do not occur in this sequence.

T. D. Noe, Plot of 4425 terms

T. D. Noe, Table of 4425 terms

(Mma) (* run the program in S000904 and then *) Transpose[tAll][[2]]

nonn,hard

T. D. Noe, Jun 15 2016