A078873 Sorted version of A078872.

7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 59, 61, 67, 149, 151, 157, 251, 587, 593, 599, 1597, 1601, 1861, 2333, 2671, 3299, 3301, 3307, 4639, 5849, 6353, 6959, 14731, 17467, 32353, 90001

Offset

1,1

Comments

Each term is the smallest prime p >= 7 such that the differences between the 6 consecutive primes starting with p are (d1,d2,d3,d4,d5), for some quintuple (d1,d2,d3,d4,d5) with elements in {2,4,6}.

Links

Table of n, a(n) for n=1..38.

Example

The term 90001 corresponds to the quadruple (6,4,6,2,4): 90001, 90007, 90011, 90017, 90019, 90023 are consecutive primes.

Crossrefs

The quintuples are in A078870. The same primes, in lexicographic order of the quintuples, are in A078872. The analogous sequences for quadruples and 6-tuples are in A078867 and A078875. Cf. A001223.

Sequence in context: A020631 A020637 A020633 * A020603 A283532 A163648

Adjacent sequences: A078870 A078871 A078872 * A078874 A078875 A078876

Keyword

nonn,fini,full

Author

Labos Elemer, Dec 20 2002

Extensions

Edited by Dean Hickerson, Dec 21 2002

Status

approved