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bulai
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Convergence of the summation 1/p^s (p prime and s>1)

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.

bulai
  • 101
  • 3