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Search: id:A129823
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| A129823 |
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Four consecutive nonprime odd numbers {n-1,n+1,n+3,n+5}. |
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+0 1
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| 115, 117, 119, 121, 117, 119, 121, 123, 119, 121, 123, 125, 141, 143, 145, 147, 183, 185, 187, 189, 201, 203, 205, 207, 203, 205, 207, 209, 213, 215, 217, 219, 215, 217, 219, 221, 243, 245, 247, 249, 285, 287, 289, 291, 295, 297, 299, 301, 297, 299, 301
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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These quartets seem to corespond to larger Prime gaps: the larger the primes gaps the more runs of of odd nonprimes.
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FORMULA
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a(n) ={n-1,n+1,n+3,n+5) for both odd and both non-Prime
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MATHEMATICA
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Flatten[Table[If[OddQ[n - 1] && PrimeQ[n - 1] == False && PrimeQ[n + 1] == False && PrimeQ[n + 3] == False && PrimeQ[n + 5] == False, {{n - 1}, {n + 1}, {n + 3}, (n + 5)}, {}], {n, 2, 300}]]
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CROSSREFS
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Sequence in context: A060309 A101111 A131603 this_sequence A056035 A105993 A036269
Adjacent sequences: A129820 A129821 A129822 this_sequence A129824 A129825 A129826
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatfttn(AT)yahoo.com), May 20 2007
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