A141296 Primes p such that p-6^2, p-6, p, p+6 and p+6^2 are consecutive primes.

846493, 1407187, 1427963, 3675277, 3750833, 4266673, 4331647, 4346767, 4348307, 4841693, 5952077, 6827237, 7421137, 7470143, 7684483, 7974143, 8569153, 8651543, 8976713, 9073783, 9552083, 11245763, 11459317, 12348997, 12524503

Offset

1,1

Comments

Equivalently, third of five consecutive primes with this consecutive difference pattern: 30, 6, 6, 30. Subsequence of A141279.

Links

Rick L. Shepherd, Table of n, a(n) for n = 1..5200

Example

a(1) = 846493 because 846457, 846487, 846493, 846499 and 846529 are consecutive primes and no smaller primes have this pattern of differences.

Mathematica

Transpose[Select[Partition[Prime[Range[830000]], 5, 1], Differences[#] == {30, 6, 6, 30}&]] [[3]] (* Harvey P. Dale, Sep 09 2011 *)

Crossrefs

Cf. A141279, A053070.

Sequence in context: A259014 A251017 A216001 * A236978 A209949 A233716

Adjacent sequences: A141293 A141294 A141295 * A141297 A141298 A141299

Keyword

nonn

Author

Rick L. Shepherd, Jun 24 2008

Status

approved