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Search: id:A078867
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| 5, 7, 13, 17, 19, 23, 29, 31, 41, 43, 47, 61, 67, 71, 149, 151, 157, 251, 593, 601, 1597, 1601, 3299, 3301, 3313, 12637
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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 >= 5 such that the differences between the 5 consecutive primes starting with p are (d1,d2,d3,d4), for some quadruple (d1,d2,d3,d4) with elements in {2,4,6}.
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EXAMPLE
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The term 3299 corresponds to the quadruple (2,6,6,6): 3299, 3301, 3307, 3313, 3319 are consecutive primes.
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CROSSREFS
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The quadruples are in A078868. The same primes, in lexicographic order of the quadruples, are in A078866. The sequences of primes corresponding to the 26 difference patterns are in A022006, A022007 and A078946-A078970. Cf. A001223.
Sequence in context: A152810 A108719 A162707 this_sequence A038911 A038988 A033560
Adjacent sequences: A078864 A078865 A078866 this_sequence A078868 A078869 A078870
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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), Dec 19 2002
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EXTENSIONS
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Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 20 2002
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