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Search: id:A111871
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| A111871 |
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Prime gaps q-p with n_th record merit referred to in A111870. |
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+0
15
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| 1, 2, 4, 14, 22, 34, 52, 72, 86, 96, 112, 132, 154, 148, 180, 210, 248, 282, 320, 336, 354, 382, 456, 514, 532, 582, 588, 602, 652, 716, 766, 906, 1132, 1442
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The prime gaps q-p (corresponding to a(n)=p in A111870) have increasing record merit (q-p)/log(p). But...
...the prime gaps themselves are almost always monotonically increasing (with very high probability,) but not always! And we do have an exception in the list above: a(14)=148 < a(13)=154!
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REFERENCES
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Ed Pegg, Jr. (edp(AT)wolfram.com), Posting to Seq Fan mailing list, Nov 23, 2005
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LINKS
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Jens Kruse Andersen, Title?
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CROSSREFS
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For the primes p corresponding to the prime gaps q-p with n_th record merit see A111870.
Adjacent sequences: A111868 A111869 A111870 this_sequence A111872 A111873 A111874
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), based on correspondence with Ed Pegg, Jr. (edp(AT)wolfram.com), Nov 23 2005
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EXTENSIONS
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Corrected and edited by Daniel Forgues (squid(AT)zensearch.com), Nov 11 2009 and Nov 20 2009
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