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A082885 Primes followed by a larger-than-average prime gap. 6
2, 3, 5, 7, 13, 19, 23, 31, 37, 43, 47, 53, 61, 73, 83, 89, 113, 131, 139, 151, 157, 167, 173, 181, 199, 211, 233, 241, 251, 257, 263, 271, 283, 293, 317, 331, 337, 353, 359, 367, 373, 383, 389, 401, 409, 421, 449, 467, 479, 491, 509, 523 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Previous name was: Primes p(j) such that p(j+1)-p(j) > log(p(j)), where log is the natural logarithm.

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

MATHEMATICA

Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s>1, Print[{n, Prime[n], s}]], {n, 1, 1000}]

Transpose[Select[Partition[Prime[Range[100]], 2, 1], #[[2]]-#[[1]]> Log[#[[1]]]&]][[1]] (* Harvey P. Dale, Mar 15 2015 *)

PROG

(PARI) p=2; forprime(q=3, 1e4, if(q-p>log(p), print1(p", ")); p=q) \\ Charles R Greathouse IV, Feb 07 2012

CROSSREFS

Cf. A082862, A082884, A002386.

Sequence in context: A165666 A154579 A233134 * A118371 A330968 A153591

Adjacent sequences:  A082882 A082883 A082884 * A082886 A082887 A082888

KEYWORD

nonn,nice

AUTHOR

Labos Elemer, Apr 17 2003

EXTENSIONS

New name from Charles R Greathouse IV, Feb 07 2012

STATUS

approved

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Last modified May 29 09:36 EDT 2020. Contains 334698 sequences. (Running on oeis4.)