A358924 Decimal expansion of the imaginary part of the complex zero of the Prime Zeta function nearest the point {0,0}.

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

Offset

1,1

Links

Table of n, a(n) for n=1..115.

Eric Weisstein's World of Mathematics, Prime Zeta Function

Example

P(0.253751610037541116925066801039228316076296569416665... + i*4.7581147960914060941595212380426498512150296376740568185876345...) = 0.

Mathematica

Im[z /. FindRoot[PrimeZetaP[z] == If[$VersionNumber < 12.3, 0, 2*Pi*I], {z, 1/4 + 5*I},  WorkingPrecision -> 120]] (* Vaclav Kotesovec, Dec 07 2022 *)

Crossrefs

Cf. A358923.

Sequence in context: A200391 A357483 A011092 * A086203 A248867 A199441

Adjacent sequences: A358921 A358922 A358923 * A358925 A358926 A358927

Keyword

nonn,cons

Author

Artur Jasinski, Dec 06 2022

Status

approved