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Search: id:A082889
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| A082889 |
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Primes p such that (r-p)/log(p) > 4, where r is the next prime after p. |
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4
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| 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; listen)
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OFFSET
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1,1
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FORMULA
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prime(j) such that (prime(j+1)-prime(j))/log(prime(j)) > 4.
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EXAMPLE
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If p=1327 then r=1361 and (r-p)/log(p) = 34/log(1327) = 4.72834..., so 1327 is in the sequence.
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MATHEMATICA
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Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s>4, Print[Prime[n]]], {n, 1, 2000}]
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CROSSREFS
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Cf. A082862, A082884-A082886, A082888, A082890, A082891.
Sequence in context: A134116 A122390 A075038 this_sequence A109568 A038854 A038677
Adjacent sequences: A082886 A082887 A082888 this_sequence A082890 A082891 A082892
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 17 2003
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