A078874 - OEIS

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A078874

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.

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The 48 6-tuples for which p exists are listed, in decimal form, in A078871.

LINKS

Table of n, a(n) for n=1..48.

EXAMPLE

The term 151 corresponds to the 6-tuple (6,6,4,6,6,2): 151, 157, 163, 167, 173, 179, 181 are consecutive primes.

CROSSREFS

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.

Sequence in context: A056705 A259744 A065706 * A257169 A162555 A059141

Adjacent sequences: A078871 A078872 A078873 * A078875 A078876 A078877

KEYWORD

nonn,fini,full

AUTHOR

Labos Elemer, Dec 20 2002

EXTENSIONS

Edited by Dean Hickerson, Dec 21 2002

STATUS

approved