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Search: id:A078875
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| 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 149, 151, 251, 587, 593, 1597, 1601, 2671, 3299, 3301, 4637, 5639, 5839, 5843, 17467, 19457, 32353, 41597, 44257, 71329, 71333, 78779, 130631, 135589, 135593, 179801, 246907, 302563, 326993, 351031, 435553, 603899, 678631, 6268957
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Each term is the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), for some 6-tuple (d1,d2,d3,d4,d5,d6) with elements in {2,4,6}.
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EXAMPLE
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The term 151 corresponds to the 6-tuple (6,6,4,6,6,2): 151, 157, 163, 167, 173, 179, 181 are consecutive primes.
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CROSSREFS
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The 6-tuples are in A078871. The same primes, in lexicographic order of the 6-tuples, are in A078874. The analogous sequences for quadruples and quintuples are in A078867 and A078873. Cf. A001223.
Sequence in context: A108871 A135779 A135778 this_sequence A052293 A038842 A046117
Adjacent sequences: A078872 A078873 A078874 this_sequence A078876 A078877 A078878
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KEYWORD
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nonn,fini,full
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Dec 20 2002
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EXTENSIONS
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Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 21 2002
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