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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 5 02:30 EST 2022. Contains 358572 sequences. (Running on oeis4.)