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A303498 Decimal expansion of Sum_{p prime} log(p)/p^8. 7
0, 0, 2, 8, 7, 9, 5, 2, 4, 7, 0, 8, 7, 2, 9, 2, 4, 7, 3, 9, 1, 3, 4, 6, 0, 2, 8, 4, 2, 3, 8, 5, 7, 3, 3, 4, 0, 6, 4, 9, 9, 8, 9, 8, 3, 7, 6, 1, 6, 7, 5, 8, 6, 5, 8, 4, 1, 0, 6, 7, 6, 1, 8, 2, 8, 6, 1, 8, 5, 3, 2, 1, 4, 8, 1, 5, 4, 1, 8, 3, 9, 9, 5, 0, 4, 8, 1, 2, 7, 5, 6, 6, 2, 9, 6, 5, 0, 6, 8, 2, 7, 7, 4, 7, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
The negated first derivative of the Prime Zeta function at 8.
LINKS
Eric Weisstein's MathWorld, Prime Zeta Function
EXAMPLE
0.00287952470872924739134602842385733406499898376167586584106761828618532...
MATHEMATICA
RealDigits[PrimeZetaP'[8], 10, 103][[1]]
PROG
(PARI) suminf(n=1, p=prime(n); log(p)/p^8) \\ Michel Marcus, Apr 25 2018
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: A319463 A079031 A203145 * A166539 A344718 A075429
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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Last modified July 17 09:39 EDT 2024. Contains 374363 sequences. (Running on oeis4.)