-35, -44, -39, -34, -19, 0, 29, ?, ?

Let T(x) = x-6; U(x) = (3+x)th prime number
Then, the terms of the given sequence are generated by the relation:

S(x) = T(x)*U(x);

Thus S(8) = T(8)*U(8) = 2*31 = 62
and, S(9) = T(9)*U(9) = 3*37 = 111