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A107311 Decimal expansion of solution to zeta(x) = 2. 11

%I

%S 1,7,2,8,6,4,7,2,3,8,9,9,8,1,8,3,6,1,8,1,3,5,1,0,3,0,1,0,2,9,7,6,9,1,

%T 4,6,4,2,3,4,1,0,9,8,4,9,3,3,5,0,3,5,7,3,2,3,2,1,2,8,5,9,0,8,4,2,3,1,

%U 7,8,5,9,6,5,3,5,7,1,0,0,8,6,7,7,2,7,4,6,0,8,1,0,8,8,9,8,2,6,4,4,0,1

%N Decimal expansion of solution to zeta(x) = 2.

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.5 Kalmar's Composition Constant, p. 293.

%H Hsien-Kuei Hwang, <a href="https://doi.org/10.1006/jnth.1999.2467">Distribution of the number of factors in random ordered factorizations of integers</a>, Journal of Number Theory 81:1 (2000), pp. 61-92.

%H M. Klazar and F. Luca, <a href="https://arxiv.org/abs/math/0505352">On the maximal order of numbers in the "factorisatio numerorum" problem</a>, arXiv:math/0505352 [math.NT], 2005-2006.

%e zeta(1.72864723899818361813510301...) = 2.

%t x /. FindRoot[ Zeta[x] == 2, {x, 2}, WorkingPrecision -> 102] // RealDigits // First (* _Jean-Fran├žois Alcover_, Mar 19 2013 *)

%o (PARI) solve(X=1.5,2,zeta(X)-2)

%Y Cf. A129374, A247667.

%K nonn,cons

%O 1,2

%A _Ralf Stephan_, May 20 2005

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Last modified July 18 15:44 EDT 2019. Contains 325144 sequences. (Running on oeis4.)