A078875 Sorted version of A078874.

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

Offset

1,1

Comments

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}.

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 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: A167847 A135779 A135778 * A244555 A052293 A038842

Adjacent sequences: A078872 A078873 A078874 * A078876 A078877 A078878

Keyword

nonn,fini,full

Author

Labos Elemer, Dec 20 2002

Extensions

Edited by Dean Hickerson, Dec 21 2002

Status

approved