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A137873 Prime numbers, isolated from neighboring primes by more than 12. 5
1847, 2179, 2503, 2819, 3137, 3433, 3967, 4177, 4621, 4831, 5623, 5953, 6637, 7283, 7369, 7393, 7433, 7621, 7993, 8039, 8147, 9257, 9587, 10753, 11027, 11197, 11213, 11369, 11657, 13063, 13367, 13381, 13537, 13553, 13649, 13859, 14107, 14221 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The definition means that p+-2, p+-4, p+-6, p+-8, p+-10 and p+-12 are all composite. - N. J. A. Sloane, Jun 04 2008

LINKS

Daniel Starodubtsev, Table of n, a(n) for n = 1..1000

MATHEMATICA

q=12; s=""; For[i=1, i<12^2, p=Prime[i]; a=0; For[j=2, j<=q, If[PrimeQ[p-j]||PrimeQ[p+j], a=1; Break[]]; j=j+2]; If[a==0, s=s<>ToString[p]<>", "]; i++ ]; Print[s]

Prime[Select[Range[2, 2000], Prime[ #-1]+12<Prime[ # ]<Prime[ #+1]-12&]] (* Ray Chandler, May 02 2009 *)

CROSSREFS

Note that this is different from A137796.

Sequence in context: A236160 A209966 A031935 * A054814 A123107 A105000

Adjacent sequences:  A137870 A137871 A137872 * A137874 A137875 A137876

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Apr 29 2008

EXTENSIONS

Extended by Ray Chandler, May 02 2009

STATUS

approved

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Last modified September 27 19:04 EDT 2020. Contains 337388 sequences. (Running on oeis4.)