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A070769
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Decimal expansion of Soldner's constant.
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15
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1, 4, 5, 1, 3, 6, 9, 2, 3, 4, 8, 8, 3, 3, 8, 1, 0, 5, 0, 2, 8, 3, 9, 6, 8, 4, 8, 5, 8, 9, 2, 0, 2, 7, 4, 4, 9, 4, 9, 3, 0, 3, 2, 2, 8, 3, 6, 4, 8, 0, 1, 5, 8, 6, 3, 0, 9, 3, 0, 0, 4, 5, 5, 7, 6, 6, 2, 4, 2, 5, 5, 9, 5, 7, 5, 4, 5, 1, 7, 8, 3, 5, 6, 5, 9, 5, 3, 1, 3, 5, 7, 7, 1, 1, 0, 8, 6, 8, 2, 8, 8, 4
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OFFSET
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1,2
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COMMENTS
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The only positive solution to li(x) = 0, where li is the logarithmic integral.
Named after the German physicist, mathematician and astronomer Johann Georg von Soldner (1776 - 1833).
Also known as Ramanujan-Soldner constant.
Mascheroni (1792) calculated the value 1.45137. Soldner (1809) calculated the value 1.4513692346. (End)
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REFERENCES
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Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003. See p. 425.
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LINKS
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FORMULA
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EXAMPLE
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1.45136923488338105028396848589...
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MATHEMATICA
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RealDigits[ x /. FindRoot[ LogIntegral[x] == 0, {x, 2}, WorkingPrecision -> 105]][[1]] (* Jean-François Alcover, Nov 08 2012 *)
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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