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A075037 Primes for which the five closest primes are smaller. +0
8
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 (list; graph; listen)
OFFSET

1,1

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

NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; ps = {0, 0, 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, 4922}]

CROSSREFS

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

Sequence in context: A139666 A020403 A015162 this_sequence A134116 A122390 A075038

Adjacent sequences: A075034 A075035 A075036 this_sequence A075038 A075039 A075040

KEYWORD

nonn

AUTHOR

N. Fernandez (primeness(AT)borve.org), Oct 10 2002

EXTENSIONS

Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 11 2002

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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