A137875 Prime numbers, isolated from neighboring primes by >16.

2179, 2503, 3967, 4177, 7369, 7393, 11027, 11657, 14107, 14369, 15859, 16033, 16301, 16787, 17257, 18013, 18617, 18637, 18839, 19121, 19661, 20201, 20663, 21247, 21911, 22229, 23227, 23251, 23399, 23719, 24281, 24571, 24593, 25013

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Apr 29 2008

Keywords

• nonn

Comments

The definition means that p+-2, p+-4, p+-6, p+-8, p+-10, p+-12, p+-14 and p+-16 are all composite. - N. J. A. Sloane, Jun 04 2008

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..5000

Programs

Mathematica

q=16;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[2,3000],Prime[ #-1]+16Ray Chandler, May 02 2009 *)
Select[Partition[Prime[Range[3000]],3,1],Min[Differences[#]]>16&][[All,2]] (* Harvey P. Dale, Jul 25 2019 *)

Extensions

Extended by Ray Chandler, May 02 2009