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

1,1

Links

Table of n, a(n) for n=1..34.

Example

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.

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]]

Crossrefs

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

Sequence in context: A259415 A015162 A355485 * A134116 A122390 A075038

Adjacent sequences: A075034 A075035 A075036 * A075038 A075039 A075040

Keyword

nonn

Author

Neil Fernandez, Oct 10 2002

Extensions

Edited by Robert G. Wilson v, Oct 11 2002

Status

approved