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A238114 Decimal expansion of constant 1 + B3 (or 1 + B_3) related to the Mertens constant. 2
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, 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 to infty} ( 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-Fran├žois Alcover, Apr 26 2018 *)

CROSSREFS

Equals 1 + A083343, the latter being the main entry for this constant.

Sequence in context: A095174 A131307 A091813 * A291300 A023139 A319442

Adjacent sequences:  A238111 A238112 A238113 * A238115 A238116 A238117

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane, Mar 05 2014

STATUS

approved

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Last modified September 21 00:17 EDT 2019. Contains 327252 sequences. (Running on oeis4.)