OFFSET
1,2
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.5 Kalmar's Composition Constant, p. 293.
LINKS
Einar Hille, A problem in "factorisatio numerorum", Acta Arithmetica, 2(1);134-144, 1936.
Hsien-Kuei Hwang, Distribution of the number of factors in random ordered factorizations of integers, Journal of Number Theory 81:1 (2000), pp. 61-92.
M. Klazar and F. Luca, On the maximal order of numbers in the "factorisatio numerorum" problem, arXiv:math/0505352 [math.NT], 2005-2006.
EXAMPLE
zeta(1.72864723899818361813510301...) = 2.
MATHEMATICA
x /. FindRoot[ Zeta[x] == 2, {x, 2}, WorkingPrecision -> 102] // RealDigits // First (* Jean-François Alcover, Mar 19 2013 *)
PROG
(PARI) solve(X=1.5, 2, zeta(X)-2)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Ralf Stephan, May 20 2005
STATUS
approved