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Search: id:A109226
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| A109226 |
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If g(x) is the x-th prime gap, then g(a(n)) are prime gaps which are greater than the sum of the preceding two prime gaps. |
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+0
2
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| 30, 34, 42, 46, 53, 61, 62, 66, 91, 97, 99, 106, 114, 121, 137, 145, 146, 150, 154, 162, 172, 175, 180, 189, 203, 214, 217, 221, 232, 239, 250, 258, 259, 263, 266, 274, 278, 289, 293, 297, 304, 309, 316, 319, 324, 331, 334, 335, 338, 342, 344, 350, 357, 360
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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34 is in the sequence because if g(34) = 35th_prime - 34th_prime = 149 - 139 = 10 and g(33) = 34th_prime - 33rd_prime = 139 - 137 = 2 and g(32) = 33rd_prime - 32nd_prime = 137 - 131 = 6, then g(34) > g(33) + g(32) or 10 > 2 + 6
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MATHEMATICA
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g[n_] := Prime[n + 1] - Prime[n]; Select[Range[3, 360], g[ # ] > g[ # - 1] + g[ # - 2] &] (*Chandler*)
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CROSSREFS
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Cf. A001223, A066495.
Adjacent sequences: A109223 A109224 A109225 this_sequence A109227 A109228 A109229
Sequence in context: A095465 A095992 A061842 this_sequence A138689 A114840 A109426
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KEYWORD
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nonn
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AUTHOR
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Ray G. Opao (1260(AT)email.com), Aug 19 2005
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 23 2005
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