login
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
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
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 *)
Select[Partition[Prime[Range[2000]], 3, 1], Min[Differences[#]]>12&][[All, 2]] (* Harvey P. Dale, Apr 09 2022 *)
CROSSREFS
Note that this is different from A137796.
Sequence in context: A236160 A209966 A031935 * A054814 A123107 A105000
KEYWORD
nonn
AUTHOR
EXTENSIONS
Extended by Ray Chandler, May 02 2009
STATUS
approved