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A238114 Decimal expansion of constant 1 + B3 (or 1 + B_3) related to the Mertens constant. 3
2, 3, 3, 2, 5, 8, 2, 2, 7, 5, 7, 3, 3, 2, 2, 0, 8, 8, 1, 7, 6, 5, 8, 2, 8, 7, 7, 6, 0, 7, 1, 0, 2, 7, 7, 4, 8, 8, 3, 8, 4, 5, 9, 4, 8, 9, 0, 4, 2, 4, 2, 2, 6, 6, 1, 7, 8, 7, 1, 3, 0, 8, 9, 9, 7, 5, 7, 3, 4, 0, 0, 4, 1, 7, 1, 9, 3, 0, 4, 0, 1, 8, 6, 8, 7, 5, 4, 8, 0, 4, 5, 5, 1, 4, 1, 6, 8, 6, 2 (list; constant; graph; refs; listen; history; text; internal format)
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, 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
Equals 1 + A083343, the latter being the main entry for this constant.
Sequence in context: A131307 A336168 A091813 * A291300 A345287 A023139
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Mar 05 2014
STATUS
approved

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Last modified March 29 05:28 EDT 2024. Contains 371264 sequences. (Running on oeis4.)