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A358924
Decimal expansion of the imaginary part of the complex zero of the prime zeta function nearest the point {0,0}.
3
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
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
KEYWORD
nonn,cons
AUTHOR
Artur Jasinski, Dec 06 2022
STATUS
approved