OFFSET
0,1
LINKS
R. J. Mathar, Hardy-Littlewood constants embedded into..., arXiv:0903.2514 [math.NT], 2009-2011, Table 5, constant Q_1^(5).
G. Niklasch, Some number theoretical constants: 1000-digit values. [Cached copy]
EXAMPLE
0.9885043977412469087511066238511866644...
MATHEMATICA
$MaxExtraPrecision = 500; digits = 98; terms = 500; P[n_] := PrimeZetaP[n]; LR = Join[{0, 0, 0, 0, 0, 0}, LinearRecurrence[{-2, -1, 0, 0, 0, 1, 1}, {-6, 7, -8, 9, -10, 11, -18}, terms + 10]]; r[n_Integer] := LR[[n]]; Exp[ NSum[r[n]*P[n - 1]/(n - 1), {n, 3, terms}, NSumTerms -> terms, WorkingPrecision -> digits + 10]] // RealDigits[#, 10, digits]& // First (* Jean-François Alcover, Apr 18 2016 *)
PROG
(PARI) prodeulerrat(1 - 1/(p^5*(p+1))) \\ Amiram Eldar, Mar 13 2021
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
N. J. A. Sloane, Nov 19 2001
STATUS
approved