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Search: id:A085237
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| A085237 |
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Nondecreasing gaps between primes. |
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+0
5
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| 1, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 8, 14, 14, 14, 18, 20, 22, 34, 34, 36, 36, 36, 44, 52, 52, 72, 86, 86, 96, 112, 114, 118, 132, 132, 148, 154, 154, 154, 180, 210, 220, 222, 234, 248, 250, 250, 282, 288, 292, 320, 336, 336, 354, 382, 384, 394, 456, 464, 468, 474
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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All terms of A005250 are in the sequence, but some terms of A005250 appear in this sequence more than once.
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REFERENCES
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R. K. Guy, Unsolved problems in number theory.
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EXAMPLE
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a(21)=a(22)=34 because prime(218)-prime(217)=Prime(1060)-prime(1059)=34 and prime(n+1)-prime(n) is less than 34, for n < 1059 and n not equal to 217.
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MATHEMATICA
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f[n_] := Prime[n+1]-Prime[n]; v={}; Do[ If[f[n]>=If[n==1, 1, v[[ -1]]], v1=n; v=Append[v, f[v1]]; Print[v]], {n, 105000000}]
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CROSSREFS
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Cf. A005250, A005669.
Sequence in context: A084841 A144202 A157887 this_sequence A110870 A035114 A062570
Adjacent sequences: A085234 A085235 A085236 this_sequence A085238 A085239 A085240
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KEYWORD
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nonn
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AUTHOR
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Farideh Firoozbakht (f.firoozbakht(AT)sci.ui.ac.ir), Aug 11 2003
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EXTENSIONS
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a(53)-a(63) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 24 2008
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