OFFSET
1,2
LINKS
J. Arias de Reyna, J. van de Lune, Some bounds and limits in the theory of Riemann's zeta function. arXiv:1107.5134 [math.NT]
Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 28.
FORMULA
The unique solution x > 1 of the equation zeta(x) = (2^x + 1)/(2^x - 1).
EXAMPLE
1.9401016837436252860174693905255488782302476074457584536287...
MATHEMATICA
x /. FindRoot[Zeta[x] == (2^x + 1)/(2^x - 1), {x, 2}, WorkingPrecision -> 100] // RealDigits // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Aug 14 2014
STATUS
approved