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A086136 Primes p such that p and p+12 are nonconsecutive primes. 2
5, 7, 11, 17, 19, 29, 31, 41, 47, 59, 61, 67, 71, 89, 97, 101, 127, 137, 139, 151, 167, 179, 181, 227, 229, 239, 251, 257, 269, 271, 281, 337, 347, 367, 389, 397, 409, 419, 421, 431, 449, 479, 487, 491, 557, 587, 601, 607, 631, 641, 647, 727, 739, 757, 761, 809 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence differs from A046133 because here the terms of A031930 are missing.

Complement of a=A031930 with respect to b=A046133: [b] & [not a]: this and A031930 are disjoint, but A031930 is a proper subset of A046133.

LINKS

Jonathan Frech, Table of n, a(n) for n = 1..1000

EXAMPLE

First two deviations from A046133 are that 199=A031930(1) and 211=A031930(2) are missing. First 20 terms are equal.

MATHEMATICA

Do[s=Prime[n]; s1=Prime[n+1]; If[PrimeQ[s+d]&& !Equal[s1-s, d], Print[s]], {n, 1, 1000}]; d=12

ncpQ[n_]:=Module[{c=n+12}, PrimeQ[c]&&NextPrime[n]!=c]; Select[Prime[ Range[ 150]], ncpQ] (* Harvey P. Dale, May 03 2012 *)

CROSSREFS

Cf. A031930, A046133.

Sequence in context: A056775 A015917 A046133 * A136052 A301913 A110587

Adjacent sequences:  A086133 A086134 A086135 * A086137 A086138 A086139

KEYWORD

nonn

AUTHOR

Labos Elemer, Jul 28 2003

STATUS

approved

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Last modified April 13 09:12 EDT 2021. Contains 342935 sequences. (Running on oeis4.)