OFFSET
0,1
LINKS
Eric Weisstein's World of Mathematics, Apéry's Constant.
Eric Weisstein's World of Mathematics, Prime Zeta Function.
FORMULA
Equals Sum_{k>=1} sopf(k) / k^3, where sopf(k) is the sum of the distinct primes dividing k (A008472).
EXAMPLE
0.543627133196479429780255713473283428069364804957661398719160636...
MATHEMATICA
RealDigits[Zeta[3] PrimeZetaP[2], 10, 105][[1]]
PROG
(PARI) zeta(3) * sumeulerrat(1/p, 2) \\ Amiram Eldar, Jul 28 2023
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Jul 26 2023
STATUS
approved