

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
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OFFSET

0,1


REFERENCES

Henri Cohen, Number Theory, Volume II: Analytic and Modern Tools, GTM Vol. 240, Springer, 2007; see pp. 208209.


LINKS

Table of n, a(n) for n=0..86.
Karim Belabas, Henri Cohen, Computation of sum_{p prime} 1/(p^s log(p)), PARI/GP script, 2020.
H. Cohen, Highprecision calculation of HardyLittlewood constants, (1998).
Henri Cohen, Highprecision computation of HardyLittlewood 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



