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A303495
Decimal expansion of Sum_{p prime} log(p)/p^5.
7
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
0,2
COMMENTS
The negated first derivative of the prime zeta function at 5.
LINKS
R. J. Mathar, Series of reciprocal powers of k-almost primes arXiv:0803.0900, Table 3.
Eric Weisstein's MathWorld, Prime Zeta Function
EXAMPLE
0.0268386012767983574221875132924501599433301495535582281248198036...
MATHEMATICA
RealDigits[PrimeZetaP'[5], 10, 99][[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: A119279 A344171 A327617 * A048741 A276709 A115317
KEYWORD
nonn,cons
AUTHOR
STATUS
approved