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A091723
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Decimal expansion of the root x of Ei(x)=0, where Ei is the exponential integral.
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5
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3, 7, 2, 5, 0, 7, 4, 1, 0, 7, 8, 1, 3, 6, 6, 6, 3, 4, 4, 6, 1, 9, 9, 1, 8, 6, 6, 5, 8, 0, 1, 1, 9, 1, 3, 3, 5, 3, 5, 6, 8, 9, 4, 9, 7, 7, 7, 1, 6, 5, 4, 0, 5, 1, 5, 5, 5, 6, 5, 7, 4, 3, 5, 2, 4, 2, 2, 0, 0, 1, 2, 0, 6, 3, 6, 2, 0, 1, 8, 5, 4, 3, 8, 4, 9, 2, 6, 0, 4, 9, 9, 5, 1, 5, 4, 8, 9, 4, 2, 3, 9, 2
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OFFSET
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0,1
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LINKS
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FORMULA
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Equals root x of li(exp(x)/x)=0 where li(x) is the logarithmic integral. - Artur Jasinski, Apr 19 2022
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EXAMPLE
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0.372507410781366634461991866580119133535689497771654...
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MATHEMATICA
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RealDigits[ x /. FindRoot[ ExpIntegralEi[x] == 0, {x, 1}, WorkingPrecision -> 102]][[1]] (* Jean-François Alcover, Oct 29 2012 *)
RealDigits[x /. FindRoot[LogIntegral[Exp[x]]/x, {x, 1/3}, WorkingPrecision -> 105]][[1]] (* Artur Jasinski, Apr 19 2022 *)
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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