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Search: id:A066491
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| A066491 |
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Twin prime gaps: Pairs n, n+1 such that f(n) = f(n+1), where f is the prime gaps function given by f(m) = p(m+1)-p(m) and p(m) denotes the m-th prime. |
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+0
1
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| 2, 3, 15, 16, 36, 37, 39, 40, 46, 47, 54, 55, 55, 56, 73, 74, 102, 103, 107, 108, 110, 111, 118, 119, 129, 130, 160, 161, 164, 165, 184, 185, 187, 188, 194, 195, 199, 200, 218, 219, 239, 240, 271, 272, 272, 273, 291, 292, 339, 340, 358, 359, 387, 388, 419, 420
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Each pair of a(n) yields a triple of primes in arithmetic progression, e.g. 2,3 yields the prime triple 3,5,7.
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EXAMPLE
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2,3 is a twin prime gap since f(2) = f(3) = 2. 54,55 is a twin prime gap since f(54) = f(55) = 6.
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MATHEMATICA
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(to find the smaller number in each twin prime gap) f[n_] := Prime[n + 1] - Prime[n]; Select[Range[1, 10^3], f[ # ] == f[ # + 1] &]
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CROSSREFS
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Sequence in context: A075244 A088030 A101047 this_sequence A101507 A047176 A037175
Adjacent sequences: A066488 A066489 A066490 this_sequence A066492 A066493 A066494
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KEYWORD
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easy,nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jan 03 2002
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EXTENSIONS
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More terms from Jason Earls (zevi_35711(AT)yahoo.com), Jan 05 2002
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