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A238114
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Decimal expansion of constant 1 + B3 (or 1 + B_3) related to the Mertens constant.
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3
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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
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OFFSET
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1,1
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REFERENCES
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S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 94-98
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LINKS
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FORMULA
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B_3 = lim_{x->oo} ( log x - Sum_{p <= x} log p / p ). - Dick Boland, Mar 09 2008
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EXAMPLE
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2.3325822757332208817658287760710277488384594890424226617871308997573400417193...
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MATHEMATICA
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digits = 99;
B3 = EulerGamma - NSum[PrimeZetaP'[n], {n, 2, Infinity}, WorkingPrecision -> digits+50, NSumTerms -> 200];
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CROSSREFS
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Equals 1 + A083343, the latter being the main entry for this constant.
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KEYWORD
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AUTHOR
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STATUS
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approved
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