A070769 - OEIS (original) (raw)

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

COMMENTS

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)

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003. See p. 425.

EXAMPLE

1.45136923488338105028396848589...

MATHEMATICA

RealDigits[ x /. FindRoot[ LogIntegral[x] == 0, {x, 2}, WorkingPrecision -> 105]][[1]] (* Jean-François Alcover, Nov 08 2012 *)