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A078874
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The 6-tuples (d1,d2,d3,d4,d5,d6) with elements in {2,4,6} are listed in lexicographic order; for each 6-tuple, this sequence lists the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), if such a prime exists.
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3
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11, 17, 4637, 41, 5639, 29, 59, 130631, 78779, 603899, 149, 3299, 13, 37, 1597, 19, 5839, 135589, 71329, 43, 302563, 17467, 1601, 23, 53, 5843, 326993, 593, 135593, 71333, 44257, 31, 61, 678631, 32353, 435553, 6268957, 351031, 47, 41597, 587, 19457, 2671, 246907, 151, 251, 179801, 3301
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OFFSET
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1,1
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COMMENTS
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The 48 6-tuples for which p exists are listed, in decimal form, in A078871.
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LINKS
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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 increasing order, are in A078875. The analogous sequences for quadruples and quintuples are in A078866 and A078872. Cf. A001223.
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KEYWORD
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nonn,fini,full
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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