A303495 Decimal expansion of Sum_{p prime} log(p)/p^5.

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

Offset: 0

Author

Jean-François Alcover, Apr 25 2018

Keywords

• nonn
• cons

Comments

The negated first derivative of the prime zeta function at 5.

Examples

			0.0268386012767983574221875132924501599433301495535582281248198036...
		

Links

• R. J. Mathar, Series of reciprocal powers of k-almost primes arXiv:0803.0900, Table 3.
• Eric Weisstein's MathWorld, Prime Zeta Function
• Wikipedia, Prime Zeta Function

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).

Programs

Mathematica

RealDigits[PrimeZetaP'[5], 10, 99][[1]]