A389398 - OEIS

%I #10 Oct 06 2025 11:24:47

%S 1,7,4,7,9,2,7,6,6,6,4,1,4,2,7,3,2,4,5,5,0,6,7,1,3,9,8,8,8,4,3,1,3,6,

%T 5,5,7,9,5,1,1,4,0,0,4,5,2,6,9,0,7,1,8,6,6,7,8,2,3,4,6,1,3,7,5,0,3,8,

%U 8,3,8,8,5,9,6,6,7,8,2,4,1,9,6,0,4,5,1,8,0,6,5,2,3,6,6,3,6,6,4,7,9,1,8,8,7

%N Decimal expansion of the Integral_{x>=2} P(x)/x, where P(x) is prime zeta function.

%e 0.174792766641427324550671398884313655795114...

%t k = NIntegrate[PrimeZetaP[x]/x, {x, 2, Infinity}, WorkingPrecision -> 110]; RealDigits[k, 10, 105][[1]]

%Y Cf. A387289, A387293, A387300, A387303.

%K nonn,cons

%O 0,2

%A _Artur Jasinski_, Oct 02 2025