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A058193 Smallest prime p such that there is a gap of 6n between p and the next prime. 5
23, 199, 523, 1669, 4297, 9551, 16141, 28229, 35617, 43331, 162143, 31397, 188029, 461717, 404851, 360653, 1444309, 2238823, 492113, 1895359, 1671781, 1357201, 3826019, 11981443, 13626257, 17983717, 39175217, 37305713, 52721113 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..29.

T. R. Nicely, List of prime gaps

Index entries for primes, gaps between.

FORMULA

a(n) = A000230(3n).

EXAMPLE

d=72 appears after 31397, while smaller d=54,60,66 come later, following primes 35617,43331,162143 respectively.

PROG

(PARI) a(n) = {p=3; q = nextprime(p+1); while((q-p) != 6*n, p = q; q = nextprime(q+1)); p; } \\ Michel Marcus, Mar 12 2016

CROSSREFS

Cf. A101232, A062529, A000230.

Sequence in context: A062640 A108646 A307355 * A065314 A065316 A060882

Adjacent sequences:  A058190 A058191 A058192 * A058194 A058195 A058196

KEYWORD

nonn

AUTHOR

Labos Elemer, Nov 28 2000

EXTENSIONS

Offset corrected by M. F. Hasler, Apr 09 2013

STATUS

approved

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Last modified July 16 23:49 EDT 2019. Contains 325092 sequences. (Running on oeis4.)