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A082889 Primes p such that (r-p)/log(p) > 4, where r is the next prime after p. 4
1327, 15683, 16141, 19333, 19609, 20809, 25471, 28229, 31397, 31907, 34061, 34981, 35617, 35677, 36389, 37907, 40289, 40639, 43331, 43801, 44293, 45893, 48679, 58831, 59281, 60539, 69263, 73189, 74959, 79699, 81463, 82073, 85933, 86629 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..2500

FORMULA

prime(j) such that (prime(j+1)-prime(j))/log(prime(j)) > 4.

EXAMPLE

If p=1327 then r=1361 and (r-p)/log(p) = 34/log(1327) = 4.72834..., so 1327 is in the sequence.

MATHEMATICA

Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s>4, Print[Prime[n]]], {n, 1, 2000}]

Transpose[Select[Partition[Prime[Range[10000]], 2, 1], (#[[2]]-#[[1]])/ Log[ #[[1]]]>4&]][[1]] (* Harvey P. Dale, Dec 10 2014 *)

CROSSREFS

Cf. A082862, A082884-A082886, A082888, A082890, A082891.

Sequence in context: A134116 A122390 A075038 * A109568 A235234 A250873

Adjacent sequences:  A082886 A082887 A082888 * A082890 A082891 A082892

KEYWORD

nonn

AUTHOR

Labos Elemer, Apr 17 2003

STATUS

approved

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Last modified December 11 15:43 EST 2017. Contains 295905 sequences.