I know that the summation 1/p^s (s>1 and p prime) converges. Now, I define J(s) = summation 1/p^s. Are there any "well  known" values for J(2),J(3),J(4), etc? like we all know that zeta(2)= (pie^2)/6, zeta(4)= (pie^4)/90, etc.