A074982 Primes for which the three closest primes are smaller.

113, 199, 317, 467, 829, 863, 887, 1129, 1307, 1327, 1637, 1669, 1879, 1951, 2089, 2251, 2311, 2477, 2557, 2803, 2971, 3229, 3259, 3271, 3373, 3469, 3739, 3947, 4027, 4139, 4297, 4463, 4523, 4733, 5023, 5119, 5237, 5351, 5449, 5483, 5531, 5591, 5659

Offset: 1

Author

Neil Fernandez, Oct 10 2002

Keywords

• nonn

Examples

			The three closest primes to 113 are 109 (difference = 4), 107 (difference = 6) and 103 (difference = 10). 109, 107 and 103 are all smaller than 113, so 113 is in the list.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A001223, A074979, A075030, A075037, A075038, A075043, A075050 and A075051.

Programs

Mathematica

NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; ps = {0, 0, 0, 0, 1}; Do[ps = Drop[ps, 1]; ps = Append[ps, NextPrim[ ps[[ -1]]]]; If[ ps[[ -1]] - ps[[ -2]] > ps[[ -2]] - ps[[1]], Print[ ps[[ -2]]]], {n, 1, 756}]
Select[Partition[Prime[Range[800]],5,1],#[[4]]-#[[1]]<#[[5]]-#[[4]]&][[All,4]] (* Harvey P. Dale, Mar 14 2018 *)

Extensions

Edited by Robert G. Wilson v, Oct 11 2002