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Search: id:A079017
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| A079017 |
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Suppose p and q = p+14 are primes. Define the difference pattern of (p,q) to be the successive differences of the primes in the range p to q. There are 15 possible difference patterns, namely [14], [2,12], [6,8], [8,6], [12,2], [2,4,8], [2,6,6], [2,10,2], [6,2,6], [6,6,2], [8,4,2], [2,4,6,2], [2,6,4,2], [2,2,4,2,4], [2,4,2,4,2]. Sequence gives smallest value of p for each difference pattern, sorted by magnitude. |
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+0
2
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| 3, 5, 17, 23, 29, 47, 83, 89, 113, 137, 149, 197, 359, 509, 1997
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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p=1997, q=2011 has difference pattern [2,4,8] and {1997,1999,2003,2011} is the corresponding consecutive prime 4-tuple.
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CROSSREFS
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A022006(1)=5, A022007(1)=7, A078847(1)=17, A078851(1)=19, A078946(1)=17, A078854(1)=23, A078948(1)=29, A078857(1)=47, A031932(1)=113, A078849(1)=149.
Cf. A079016-A079024.
Sequence in context: A020592 A027699 A069687 this_sequence A100564 A024862 A025106
Adjacent sequences: A079014 A079015 A079016 this_sequence A079018 A079019 A079020
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KEYWORD
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fini,full,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jan 24 2003
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