A303497 Decimal expansion of Sum_{p prime} log(p)/p^7.

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

Offset

0,3

Comments

The negated first derivative of the Prime Zeta function at 7.

Links

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

Eric Weisstein's MathWorld, Prime Zeta Function

Wikipedia, Prime Zeta Function

Example

0.00594068903914819614255059282901660901936818950592935107516681316988898...

Mathematica

RealDigits[PrimeZetaP'[7], 10, 103][[1]]

Crossrefs

Decimal expansion of Sum_{p prime} log(p)/p^k: A136271 (k=2), A303493 (k=3), A303494 (k=4), A303495 (k=5), A303496 (k=6), A303497 (k=7), A303498 (k=8), A303499 (k=9).

Sequence in context: A111453 A222074 A245735 * A198990 A367606 A153356

Adjacent sequences: A303494 A303495 A303496 * A303498 A303499 A303500

Keyword

nonn,cons

Author

Jean-François Alcover, Apr 25 2018

Status

approved