A389398 Decimal expansion of the Integral_{x>=2} P(x)/x, where P(x) is prime zeta function.

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, 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, 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

Offset

0,2

Links

Table of n, a(n) for n=0..104.

Example

0.174792766641427324550671398884313655795114...

Mathematica

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

Crossrefs

Cf. A387289, A387293, A387300, A387303.

Sequence in context: A085541 A133055 A303133 * A195384 A394107 A021576

Adjacent sequences: A389395 A389396 A389397 * A389399 A389400 A389401

Keyword

nonn,cons

Author

Artur Jasinski, Oct 02 2025

Status

approved