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Search: id:A082890
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| A082890 |
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Primes p such that (r-p)/log(p) > 5, where r is the next prime after p. |
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+0
3
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| 19609, 25471, 31397, 34061, 35617, 40289, 40639, 43331, 44293, 58831, 79699, 85933, 89689, 102701, 107377, 110359, 124367, 134513, 142993, 149629, 155921, 156157, 162143, 173359, 175141, 186481, 188029, 190409, 203461, 212701, 218287
(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)) > 5.
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EXAMPLE
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If p=492113 then r=492227 and (r-p)/log(p) = 114/log(492113) = 8.69799..., so 492113 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>5, Print[Prime[n]]], {n, 1, 50000}]
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CROSSREFS
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Cf. A082862, A082884-A082886, A082888, A082889, A082891.
Adjacent sequences: A082887 A082888 A082889 this_sequence A082891 A082892 A082893
Sequence in context: A069369 A115472 A022234 this_sequence A109569 A118924 A065304
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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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