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A246845 Decimal expansion of t_1, the upper bound of the conjectured first interval [t_0, t_1] where the real part of zeta(1+i*t) is negative.

%I A246845 #11 Jan 17 2020 16:10:15
%S A246845 6,8,2,1,1,2,9,4,4,2,5,0,4,9,1,7,6,2,4,3,9,0,2,2,6,7,4,3,9,4,9,3,6,9,
%T A246845 0,7,3,8,2,8,5,6,4,4,8,1,1,0,3,4,9,1,5,1,5,0,5,8,0,5,3,5,1,5,9,0,4,0,
%U A246845 0,6,8,9,7,6,5,0,2,3,3,5,3,6,1,8,7,7,1,8,7,0,3,6,9,0,1,6,9,6,9
%N A246845 Decimal expansion of t_1, the upper bound of the conjectured first interval [t_0, t_1] where the real part of zeta(1+i*t) is negative.
%H A246845 Steven R. Finch, <a href="http://arxiv.org/abs/2001.00578">Errata and Addenda to Mathematical Constants</a>, p. 28.
%e A246845 682112.9442504917624390226743949369073828564481103491515...
%t A246845 t1 = t /. FindRoot[Re[Zeta[1 + I*t]] == 0, {t, 682112.944 }, WorkingPrecision -> 120]; RealDigits[t1, 10, 99] // First
%Y A246845 Cf. A242069, A242070, A246843, A246844.
%K A246845 nonn,cons
%O A246845 6,1
%A A246845 _Jean-François Alcover_, Sep 05 2014