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Decimal expansion of the unique solution to zeta(x) = 3 in (1, +oo).
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%I #7 Nov 27 2021 12:03:09

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

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

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

%N Decimal expansion of the unique solution to zeta(x) = 3 in (1, +oo).

%e zeta(1.41784593578735729296...) = 3.

%t (* following _Jean-François Alcover_'s Mathematica program for A107311 *) x /. FindRoot[ Zeta[x] == 3, {x, 2}, WorkingPrecision -> 102] // RealDigits // First

%o (PARI) solve(x=1.4, 1.5, zeta(x) - 3)

%Y Cf. A107311.

%K nonn,cons

%O 1,2

%A _Jianing Song_, Nov 24 2021