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A246844
Decimal expansion of t_0, the lower bound of the conjectured first interval [t_0, t_1] where the real part of zeta(1+i*t) is negative.
1
6, 8, 2, 1, 1, 2, 8, 9, 1, 3, 3, 8, 2, 3, 9, 9, 4, 1, 1, 5, 9, 5, 5, 6, 8, 2, 8, 8, 0, 4, 4, 3, 0, 0, 3, 4, 7, 1, 1, 7, 7, 7, 7, 5, 6, 1, 3, 7, 8, 7, 5, 3, 0, 9, 2, 0, 4, 2, 5, 9, 2, 8, 4, 4, 1, 0, 0, 0, 3, 5, 4, 7, 4, 4, 7, 5, 1, 8, 7, 0, 0, 0, 1, 2, 1, 0, 9, 2, 7, 1, 3, 8, 9, 3, 2, 8, 6, 6, 4
OFFSET
6,1
EXAMPLE
682112.8913382399411595568288044300347117777561378753092...
MATHEMATICA
t0 = t /. FindRoot[Re[Zeta[1 + I*t]] == 0, {t, 682112.891 }, WorkingPrecision -> 120]; RealDigits[t0, 10, 99] // First
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
STATUS
approved