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A074982 Primes for which the three closest primes are smaller. 8
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

EXAMPLE

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.

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 *)

CROSSREFS

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

Sequence in context: A056710 A124585 A173594 * A094932 A173595 A142276

Adjacent sequences:  A074979 A074980 A074981 * A074983 A074984 A074985

KEYWORD

nonn

AUTHOR

Neil Fernandez, Oct 10 2002

EXTENSIONS

Edited by Robert G. Wilson v, Oct 11 2002

STATUS

approved

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Last modified April 11 05:49 EDT 2021. Contains 342886 sequences. (Running on oeis4.)