OFFSET
0,1
LINKS
Eric Weisstein's World of Mathematics, Prime Zeta Function.
Eric Weisstein's World of Mathematics, Riemann Zeta Function zeta(2).
FORMULA
Equals Sum_{k>=1} omega(k) / k^2, where omega(k) is the number of distinct primes dividing k (A001221).
EXAMPLE
0.743917187869767974935961806463534512710431875022875115314346546...
MATHEMATICA
RealDigits[Zeta[2] PrimeZetaP[2], 10, 105][[1]]
PROG
(PARI) zeta(2) * sumeulerrat(1/p, 2) \\ Amiram Eldar, Jul 28 2023
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Jul 26 2023
STATUS
approved