A054833 Sixth term of weak prime sextet: p(m-4)-p(m-5) < p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).

2953, 13513, 13931, 15013, 15413, 15427, 21467, 21587, 21911, 28307, 30931, 33287, 35671, 37781, 42281, 42641, 45853, 55691, 64709, 64969, 64997, 68239, 68261, 68927, 68947, 73999, 74257, 78643, 83177, 85571, 87383, 88069, 90971, 91621, 92297, 97073, 106853, 118529, 119083, 127807, 129011

Offset: 1

Author

Henry Bottomley, Apr 10 2000

Keywords

• nonn

Links

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

Crossrefs

Cf. A051635; A054800 .. A054803: members of balanced prime quartets (= consecutive primes in arithmetic progression); A054804 .. A054818: members of strong prime quartets, quintets, sextets; A054819 .. A054840: members of weak prime quartets, quintets, sextets, septets.

Programs

Mathematica

Transpose[Select[Partition[Prime[Range[9000]],6,1],And@@Positive[ Differences[ #,2]]&]][[6]] (* Harvey P. Dale, Nov 06 2011 *)

Formula

a(n) = A151800(A054832(n)). - M. F. Hasler, Oct 27 2018