A139774 Nearest integer to imaginary part of zeros of Riemann zeta function which is prime.

41, 43, 53, 59, 61, 67, 79, 83, 89, 101, 107, 131, 151, 163, 167, 173, 193, 197, 227, 229, 241, 251, 271, 283, 307, 311, 331, 337, 347, 349, 353, 373, 383, 389, 409, 421, 431, 439, 443, 449, 467, 467, 479, 487, 491, 499, 509, 541, 547, 557, 563, 569, 577, 587

Offset

1,1

Comments

First four double nearest integers which are primes are 467, 751, 919 and 947.

Links

Table of n, a(n) for n=1..54.

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

Mathematica

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

Crossrefs

Cf. A002410, A013629.

Sequence in context: A284290 A045710 A090152 * A007643 A259552 A290365

Adjacent sequences: A139771 A139772 A139773 * A139775 A139776 A139777

Keyword

nonn

Author

Jani Melik, May 20 2008

Status

approved