OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.1 Hardy-Littlewood Constants, p. 88.
LINKS
Eric Weisstein's MathWorld, Goldbach's Conjecture.
Eric Weisstein's MathWorld, Vinogradov's theorem.
Wikipedia, Goldbach's conjecture.
Wikipedia, Vinogradov's theorem.
EXAMPLE
0.5738138626120705990478863934579063276647761095586873862487...
MATHEMATICA
$MaxExtraPrecision = 600; digits = 99; terms = 600; P[n_] := PrimeZetaP[n] - 1/2^n; LR = LinearRecurrence[{6, -14, 15, -6}, {0, 0, -2, -9}, 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
PROG
(PARI) prodeulerrat(1-1/(p^2-3*p+3), 1, 3) \\ Amiram Eldar, Mar 11 2021
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Apr 17 2016
STATUS
approved