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Search: id:A136798
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| A136798 |
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First term in a sequence of at least 3 consecutive composite integers. |
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+0
5
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| 8, 14, 20, 24, 32, 38, 44, 48, 54, 62, 68, 74, 80, 84, 90, 98, 104, 110, 114, 128, 132, 140, 152, 158, 164, 168, 174, 182, 194, 200, 212, 224, 230, 234, 242, 252, 258, 264, 272, 278, 284, 294, 308, 314, 318, 332, 338, 350, 354, 360, 368, 374, 380, 384, 390, 398
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The meaning of "first" is that the run of composites is started with this term, that is, it is the one after a prime.
The number of terms in any run of composites is odd, because the difference between the relevant consecutive primes is even.
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LINKS
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Carlos Rivera, Puzzle 430, Grimm's Conjecture, Prime puzzles and problems connection.
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FORMULA
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a(n) = A049591(n)+1 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 23 2008
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EXAMPLE
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a(1)=8 because 8 is the first term in a sequential run of 3 composites, 8,9,10
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CROSSREFS
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Cf. A136799, A136800, A136801.
Sequence in context: A025044 A125163 A063288 this_sequence A091575 A091572 A096786
Adjacent sequences: A136795 A136796 A136797 this_sequence A136799 A136800 A136801
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Jan 21 2008
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 27 2009
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