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A079016
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Suppose p and q = p+12 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 14 possible difference patterns, namely [12], [2,10], [4,8], [6,6], [8,4], [10,2], [2,4,6], [2,6,4], [4,2,6], [4,6,2], [6,2,4], [6,4,2], [2,4,2,4] and [4,2,4,2]. Sequence gives smallest value of p for each difference pattern, sorted by magnitude.
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6
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5, 7, 17, 19, 29, 31, 47, 67, 89, 137, 139, 199, 397, 1601
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..14.
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EXAMPLE
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p=1601, q=1613 has difference pattern [6,2,4] and {1601,1607,1609,1613} 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, A078848(1)=29, A078855(1)=31, A047948(1)=47, A078850(1)=67, A031930(1)=A000230(6)=199, A046137(1)=7, A078853(1)=1601.
Cf. A079017-A079024.
Sequence in context: A092242 A003630 A122565 * A106120 A106121 A185022
Adjacent sequences: A079013 A079014 A079015 * A079017 A079018 A079019
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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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STATUS
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approved
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