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A303493
Decimal expansion of Sum_{p prime} log(p)/p^3.
12
1, 5, 0, 7, 5, 7, 5, 5, 5, 5, 4, 3, 9, 5, 0, 4, 2, 2, 1, 7, 9, 8, 3, 6, 5, 1, 6, 3, 6, 5, 3, 4, 2, 9, 1, 9, 5, 7, 5, 5, 0, 1, 1, 6, 1, 5, 3, 0, 6, 8, 9, 3, 3, 1, 8, 1, 8, 7, 9, 7, 6, 7, 6, 0, 4, 2, 5, 5, 8, 4, 1, 8, 4, 2, 7, 0, 9, 7, 1, 7, 7, 6, 2, 2, 8, 8, 8, 8, 8, 0, 8, 4, 8, 3, 6, 3, 6, 5, 7, 7
OFFSET
0,2
COMMENTS
The negated first derivative of the Prime Zeta function at 3.
LINKS
R. Mathar, Series of reciprocal powers of k-almost primes, arXiv:0803.0900 [math.NT], 2008-2009; Table 3, s=3.
J. B. Rosser, L. Schoenfeld, Approximate formulas for some functions of prime numbers, Ill. J. Math. 6 (1) (1962) 64-94, Table IV
Eric Weisstein's MathWorld, Prime Zeta Function
EXAMPLE
0.150757555543950422179836516365342919575501161530689331818797676...
MATHEMATICA
RealDigits[PrimeZetaP'[3], 10, 100][[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: A021873 A020801 A010776 * A021201 A112254 A180660
KEYWORD
nonn,cons
AUTHOR
STATUS
approved