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A082885
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Primes followed by a larger-than-average prime gap.
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3
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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; internal format)
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OFFSET
| 1,1
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COMMENTS
| Primes p(j) such that p(j+1)-p(j) > log(p(j)), where log is the natural logarithm.
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LINKS
| Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
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MATHEMATICA
| Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s>1, Print[{n, Prime[n], s}]], {n, 1, 1000}]
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PROG
| (PARI) p=2; forprime(q=3, 1e4, if(q-p>log(p), print1(p", ")); p=q) \\ Charles R Greathouse IV, Feb 07 2012
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CROSSREFS
| Cf. A082862, A082884.
Sequence in context: A077321 A165666 A154579 * A118371 A153591 A038917
Adjacent sequences: A082882 A082883 A082884 * A082886 A082887 A082888
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KEYWORD
| nonn,nice,changed
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Apr 17 2003
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EXTENSIONS
| New name from Charles R Greathouse IV, Feb 07 2012
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