A240961 Decimal expansion of y_126, the [imaginary part of the] first zero of Riemann's zeta function where Gram's law fails.

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

Offset: 3

Author

Jean-François Alcover, Aug 05 2014

Keywords

• nonn
• cons

Examples

			279.2292509277451892284098804519553592834926374...
		

References

• H. M. Edwards, Riemann's Zeta Function, Dover Publications Inc. 1974, pp 124-127.

Links

• Eric Weisstein's MathWorld, Gram Point

Crossrefs

Cf. A114856.

Programs

Mathematica

RealDigits[ZetaZero[126] // Im, 10, 99] // First

PARI

solve(y=279,279.3,real(zeta(1/2+y*I))) \\ Charles R Greathouse IV, Mar 10 2016

PARI

lfunzeros(lzeta,[279,280])[1] \\ Charles R Greathouse IV, Mar 10 2016