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

Offset: 1

Author

Labos Elemer, Dec 20 2002

Keywords

• nonn
• fini
• full

Comments

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

Examples

			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.

Extensions

Edited by Dean Hickerson, Dec 21 2002