A090832 - OEIS

A090832

Numbers n such that p(n), p(n)+6, p(n)+12, p(n)+18 are consecutive primes, where p(n) denotes n-th prime.

54, 271, 464, 682, 709, 821, 829, 1510, 1594, 1726, 1842, 1853, 2009, 2086, 2209, 2600, 2876, 3253, 3303, 5463, 5689, 6252, 6386, 7064, 7438, 7620, 7728, 7918, 8090, 8145, 8229, 8631, 8654, 8828, 9105, 9184, 9243, 9997, 10052, 10074, 10329, 10934

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OFFSET

1,1

LINKS

Zak Seidov, Table of n, a(n) for n = 1..1581

EXAMPLE

p(271)=1741: 1741,1747,1753,1759 are consecutive primes,1747=1741+6,1753=1741+12,1759=1741+18

MATHEMATICA

p[n_]:=Prime[n]; Select[Range[15000], p[ #+1]-p[ # ]==p[ #+2]-p[ #+1]==p[ #+3]-p[ #+2]==6&] - Zak Seidov, Mar 05 2006

PrimePi[#[[1]]]&/@Select[Partition[Prime[Range[11000]], 4, 1], Differences[#]=={6, 6, 6}&] (* Harvey P. Dale, Oct 28 2023 *)

CROSSREFS

Cf. A033451, A090833, A090834, A090835, A090836, A090837, A090838, A090839.

Sequence in context: A248209 A245830 A102838 * A232511 A262853 A230921

Adjacent sequences: A090829 A090830 A090831 * A090833 A090834 A090835

KEYWORD

easy,nonn

AUTHOR

Pierre CAMI, Dec 09 2003

EXTENSIONS

Corrected and extended by Zak Seidov, Mar 05 2006

STATUS

approved