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

Author

Rick L. Shepherd, Jun 24 2008

Keywords

• nonn

Comments

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

Examples

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

Links

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

Crossrefs

Cf. A141279, A053070.

Programs

Mathematica

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