

A141296


Primes p such that p6^2, p6, p, p+6 and p+6^2 are consecutive primes.


1



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
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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



