OFFSET
2,1
COMMENTS
The absolutely convergent zone of P(z) is for Re(z) > 1 where P(z) is the prime zeta function.
LINKS
Eric Weisstein's World of Mathematics, Prime Zeta Function
EXAMPLE
P(1.06192417592207076084996... + i*23.71733039185105166927978...) = 0.
MATHEMATICA
Im[z /. FindRoot[PrimeZetaP[z] == If[$VersionNumber < 12.3, 0, 2*Pi*I], {z, 1 + 23.7*I}, WorkingPrecision -> 120]] (* after Vaclav Kotesovec at A358923 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Artur Jasinski, Dec 07 2022
STATUS
approved