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 A221711 Decimal expansion of sum 1/(p^2 * log p) over the primes p=2,3,5,7,11,... 3
 5, 0, 7, 7, 8, 2, 1, 8, 7, 8, 5, 9, 1, 9, 9, 3, 1, 8, 7, 7, 4, 3, 7, 5, 1, 0, 3, 7, 9, 4, 7, 0, 5, 5, 7, 0, 4, 6, 6, 9, 7, 3, 6, 7, 1, 7, 0, 4, 3, 2, 0, 6, 9, 8, 5, 7, 3, 9, 8, 0, 2, 1, 2, 3, 4, 8, 2, 7, 2, 8, 6, 9, 0, 1, 3, 7, 4, 1, 3, 1, 1, 5, 1, 0, 4, 6, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES Henri Cohen, Number Theory, Volume II: Analytic and Modern Tools, GTM Vol. 240, Springer, 2007; see pp. 208-209. LINKS Karim Belabas, Henri Cohen, Computation of sum_{p prime} 1/(p^s log(p)), PARI/GP script, 2020. H. Cohen, High-precision calculation of Hardy-Littlewood constants, (1998). Henri Cohen, High-precision computation of Hardy-Littlewood constants. [pdf copy, with permission] R. J. Mathar, Twenty digits of some integrals of the prime zeta function, arXiv:0811.4739, Section 2.4. EXAMPLE 0.50778218785919931877437510379470557... PROG (PARI) See Belabas, Cohen link. Run as SumEulerlog(2) after setting the required precision. CROSSREFS Cf. A137245. Sequence in context: A021201 A112254 A180660 * A200400 A190147 A108745 Adjacent sequences:  A221708 A221709 A221710 * A221712 A221713 A221714 KEYWORD nonn,cons AUTHOR N. J. A. Sloane, Jan 26 2013 EXTENSIONS More terms from Hugo Pfoertner, Feb 01 2020 STATUS approved

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Last modified January 22 16:27 EST 2021. Contains 340363 sequences. (Running on oeis4.)