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

Author

Anthony C Robin, May 21 2010

Keywords

• nonn

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

Crossrefs

Cf. A002822

Programs

Mathematica

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

Extensions

Extended by D. S. McNeil, May 23 2010