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Search: id:A079018
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| A079018 |
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Suppose p and q = p+16 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 17 possible difference patterns, namely [16], [4,12], [6,10], [10,6], [12,4], [4,2,10], [4,6,6], [4,8,4], [6,4,6], [6,6,4], [10,2,4], [4,2,4,6], [4,2,6,4], [4,6,2,4], [6,4,2,4], [4,2,4,2,4], [2,2,4,2,4,2]. Sequence gives smallest value of p for each difference pattern, sorted by magnitude. |
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+0
1
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| 3, 7, 13, 31, 43, 67, 73, 151, 181, 211, 241, 277, 331, 463, 487, 1597, 1831
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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p=181, q=197 has difference pattern [10,2,4] and {181,191,193,197} is the corresponding consecutive prime 4-tuple.
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CROSSREFS
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A022008(1)=7, A078952(1)=13, A078852(1)=73, A078953(1)=67, A078954(1)=1597, A078961(1)=31, A078856(1)=73, A078858(1)=151, A031934(1)=A000230(8)=1831.
Cf. A079016-A079024.
Sequence in context: A117708 A093431 A083520 this_sequence A002383 A068679 A006978
Adjacent sequences: A079015 A079016 A079017 this_sequence A079019 A079020 A079021
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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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