

A319229


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


0



12, 18, 20, 23, 22, 25, 24, 24, 25, 21, 22, 19, 18, 18, 18, 14, 11, 11, 9, 6, 6, 4, 2, 2, 8, 9, 8, 11, 10, 12, 23, 26, 30, 28, 37, 37, 41, 44, 46, 50, 55, 53, 61, 62, 64, 64, 73, 83, 86, 86, 87, 92, 91, 100, 104, 107, 111, 112, 116, 118
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..60.


FORMULA

a(n) = A002410(n)  prime(n).


EXAMPLE

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


PROG

(PARI) lista(nn) = my(v=apply(round, lfunzeros(lzeta, nn))); vector(#v, n, v[n]  prime(n)); \\ Michel Marcus, Sep 14 2018


CROSSREFS

Cf. A000040, A002410.
Sequence in context: A232391 A025491 A091196 * A334160 A271345 A007624
Adjacent sequences: A319226 A319227 A319228 * A319230 A319231 A319232


KEYWORD

sign


AUTHOR

Mark A. Thomas, Sep 14 2018


STATUS

approved



