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A364488
Decimal expansion of zeta(2) * primezeta(2).
1
7, 4, 3, 9, 1, 7, 1, 8, 7, 8, 6, 9, 7, 6, 7, 9, 7, 4, 9, 3, 5, 9, 6, 1, 8, 0, 6, 4, 6, 3, 5, 3, 4, 5, 1, 2, 7, 1, 0, 4, 3, 1, 8, 7, 5, 0, 2, 2, 8, 7, 5, 1, 1, 5, 3, 1, 4, 3, 4, 6, 5, 4, 6, 0, 4, 7, 5, 6, 9, 0, 8, 8, 6, 4, 2, 4, 0, 4, 6, 8, 5, 2, 3, 6, 9, 3, 8, 1, 3, 1, 1, 6, 3, 8, 5, 1, 9, 7, 1, 5, 6, 3, 7, 1, 9
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