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A319229 a(n) is equal to the difference between the nearest integer to the imaginary part of the n-th zero of the Riemann zeta function and the n-th prime. 0

%I

%S 12,18,20,23,22,25,24,24,25,21,22,19,18,18,18,14,11,11,9,6,6,4,2,-2,

%T -8,-9,-8,-11,-10,-12,-23,-26,-30,-28,-37,-37,-41,-44,-46,-50,-55,-53,

%U -61,-62,-64,-64,-73,-83,-86,-86,-87,-92,-91,-100,-104,-107,-111,-112,-116,-118

%N a(n) is equal to the difference between the nearest integer to the imaginary part of the n-th zero of the Riemann zeta function and the n-th prime.

%F a(n) = A002410(n) - prime(n).

%e 14 - 2 = 12, 21 - 3 = 18, 25 - 5 = 20.

%o (PARI) lista(nn) = my(v=apply(round, lfunzeros(lzeta, nn))); vector(#v, n, v[n] - prime(n)); \\ _Michel Marcus_, Sep 14 2018

%Y Cf. A000040, A002410.

%K sign

%O 1,1

%A _Mark A. Thomas_, Sep 14 2018

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Last modified July 12 21:31 EDT 2020. Contains 335669 sequences. (Running on oeis4.)