A385710 Decimal expansion of the first zero of Re(P(x)) with x<1, where P(x) is prime zeta function.

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Example

0.65673286315285539702468366567...

Mathematica

kk = x /. FindRoot[Re[PrimeZetaP[x]] == 0, {x, 0.7}, WorkingPrecision -> 110]; RealDigits[kk, 10, 105][[1]]

Crossrefs

Cf. A358968, A358969.

Sequence in context: A111718 A106154 A023408 * A133616 A380141 A019621

Adjacent sequences: A385707 A385708 A385709 * A385711 A385712 A385713

Keyword

nonn,cons

Author

Artur Jasinski, Jul 07 2025

Status

approved