OFFSET
1,1
REFERENCES
S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 94-98
LINKS
David Broadhurst, Table of n, a(n) for n = 1..300
David Broadhurst, The Mertens constant ...
David Broadhurst, 1000 digits
Eric Weisstein's World of Mathematics, Mertens Constant
FORMULA
B_3 = lim_{x->oo} ( log x - Sum_{p <= x} log p / p ). - Dick Boland, Mar 09 2008
EXAMPLE
2.3325822757332208817658287760710277488384594890424226617871308997573400417193...
MATHEMATICA
digits = 99;
B3 = EulerGamma - NSum[PrimeZetaP'[n], {n, 2, Infinity}, WorkingPrecision -> digits+50, NSumTerms -> 200];
RealDigits[1 + B3, 10, digits][[1]] (* Jean-François Alcover, Apr 26 2018 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Mar 05 2014
STATUS
approved