A305741 Decimal expansion of imaginary part of 6th nontrivial zero of Riemann zeta function.

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

Offset: 2

Author

Seiichi Manyama, Jun 23 2018

Keywords

• nonn
• cons

Examples

			The zero is at 1/2 + i * 37.58617815882567125721776348070533282140559735083...
		

Links

• Andrew M. Odlyzko, Tables of zeros of the Riemann zeta function

Crossrefs

Imaginary part of k-th nontrivial zero of Riemann zeta function: A058303 (k=1), A065434 (k=2), A065452 (k=3), A065453 (k=4), A192492 (k=5), this sequence (k=6), A305742 (k=7), A305743 (k=8), A305744 (k=9), A306004 (k=10).

Cf. A002410 (rounded values: main entry), A013629 (floor), A092783 (ceiling).

Programs

Mathematica

RealDigits[Im[ZetaZero[6]], 10, 120][[1]] (* Vaclav Kotesovec, Jun 23 2018 *)

PARI

lfunzeros(1,[37,38])[1] \\ M. F. Hasler, Nov 23 2018