OFFSET
1,1
LINKS
R. J. Mathar, Twenty digits of some integrals of the prime zeta function, arXiv:0811.4739 (2008-2009).
EXAMPLE
2.443227043544410188729683297369734576461453087740400428664651485267350...
PROG
(PARI) default(realprecision, 200); s=0; for(k=1, 500, s = s + moebius(k)/(6*k^5) * intnum(x=k, [[1], 1], (x-k)^3 * log(zeta(x))); print(s));
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Jun 13 2022
EXTENSIONS
Last 2 digits corrected by Vaclav Kotesovec, Jun 22 2022
STATUS
approved