A178145 6n-1,6n+1, 6n+5, 6n+7 are all primes. That is they are adjacent pairs of twin primes.

1, 2, 17, 32, 137, 247, 312, 347, 542, 577, 942, 1572, 2167, 2607, 2622, 2677, 3007, 3152, 3237, 3502, 3712, 4217, 5287, 5807, 7297, 8557, 9222, 10497, 11202, 11582, 12037, 12877, 13282, 13507, 13787, 14802, 16307, 16522, 16852, 18307, 19422

Offset

1,2

Comments

The sequence A002822, gives the values of n to generate the twin primes, 6n+/-1. It has the values 1, 2, 3, 5, 7, 10, 12, 17, 18, 23, . This new sequence lists the lower of the values of this which are adjacent, namely 1(&2), 2 (&3), 17 (&18)..

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

(First[#]+1)/6&/@Select[Partition[Prime[Range[12000]], 4, 1], Differences[#] == {2, 4, 2}&] (* Harvey P. Dale, Jan 23 2012 *)

Crossrefs

Cf. A002822

Sequence in context: A344187 A212740 A212742 * A055261 A307690 A100294

Adjacent sequences: A178142 A178143 A178144 * A178146 A178147 A178148

Keyword

nonn

Author

Anthony C Robin, May 21 2010

Extensions

Extended by D. S. McNeil, May 23 2010

Status

approved