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.

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, 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, 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

Offset: 6

Author

Jean-François Alcover, Sep 05 2014

Keywords

• nonn
• cons

Examples

			682112.9442504917624390226743949369073828564481103491515...
		

Links

• Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 28.

Crossrefs

Cf. A242069, A242070, A246843, A246844.

Programs

Mathematica

t1 = t /. FindRoot[Re[Zeta[1 + I*t]] == 0, {t, 682112.944 }, WorkingPrecision -> 120]; RealDigits[t1, 10, 99] // First