A103490 Smallest integer greater than or equal to imaginary part of zeros of Riemann zeta function which is prime.

31, 41, 53, 61, 73, 83, 89, 139, 151, 151, 157, 179, 193, 197, 199, 257, 277, 283, 311, 313, 337, 347, 367, 379, 389, 397, 409, 419, 421, 431, 433, 439, 443, 457, 461, 463, 467, 479, 479, 487, 499, 503, 509, 521, 523, 541, 541, 557, 563, 569, 571, 587, 593

Offset

1,1

Links

Table of n, a(n) for n=1..53.

Andrew Michael Odlyzko, Tables of zeros of the Riemann zeta function.

Example

a(1)= 31. 4th zero of Riemann zeta function is 30.424876126... and the smallest integer greater or equal which is prime is 31.

Mathematica

Select[ Ceiling@ Im@ ZetaZero@ Range@ 340, PrimeQ] (* Robert G. Wilson v, Jan 27 2015 *)

Crossrefs

Cf. A002410, A013629.

Sequence in context: A099180 A156299 A342216 * A105320 A104822 A198175

Adjacent sequences: A103487 A103488 A103489 * A103491 A103492 A103493

Keyword

nonn

Author

Jani Melik, May 20 2008

Status

approved