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Nearest integer to imaginary part of zeros of Riemann zeta function which is prime.
0

%I #8 Jul 04 2024 06:35:57

%S 41,43,53,59,61,67,79,83,89,101,107,131,151,163,167,173,193,197,227,

%T 229,241,251,271,283,307,311,331,337,347,349,353,373,383,389,409,421,

%U 431,439,443,449,467,467,479,487,491,499,509,541,547,557,563,569,577,587

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

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

%H Andrew Michael Odlyzko, <a href="http://www.dtc.umn.edu/~odlyzko/zeta_tables/index.html">Tables of zeros of the Riemann zeta function</a>.

%t Select[ Round@ Im@ ZetaZero@ Range@ 340, PrimeQ] (* _Robert G. Wilson v_, Jan 27 2015 *)

%Y Cf. A002410, A013629.

%K nonn

%O 1,1

%A _Jani Melik_, May 20 2008