A075037 Primes for which the five closest primes are smaller.

1327, 3469, 9439, 12119, 13187, 14563, 15683, 15823, 19609, 21031, 21617, 22307, 22573, 23689, 25261, 25471, 29033, 29881, 31277, 31397, 32803, 33647, 34061, 35543, 35617, 38461, 39251, 40289, 40639, 42863, 43331, 43801, 44293, 45139

Offset: 1

Author

Neil Fernandez, Oct 10 2002

Keywords

• nonn

Examples

			The five closest primes to 1327 are 1321 (difference = 6), 1319 (difference = 8), 1307 (different = 20), 1303 (difference = 24) and 1301 (difference =26). 1321, 1319, 1307, 1303 and 1301 are all smaller than 1327, so 1327 is in the list.
		

Crossrefs

Cf. A001223, A074979, A074982, A075030, A075038, A075043, A075050 and A075051.

Programs

Mathematica

okQ[n_]:=Module[{p5=Prime[PrimePi[n]-5],pp=NextPrime[n]},(n-p5)<(pp-n)]; Select[Prime[Range[6,5000]],okQ]  (* Harvey P. Dale, Jan 17 2011 *)
ps={2,3,5,7,11}; p=13; Reap[Do[np=NextPrime[p]; If[p-ps[[1]] < np-p, Sow[p]]; ps=RotateLeft[ps]; ps[[-1]]=p; p=np, {5000}]][[2,1]]

Extensions

Edited by Robert G. Wilson v, Oct 11 2002