A054837 Fourth term of weak prime septet: p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).

15391, 64937, 68219, 68909, 128993, 129001, 143527, 154097, 158017, 192391, 221729, 222419, 244481, 249749, 285317, 318691, 337291, 354383, 357859, 374203, 385403, 394739, 402593, 402601, 419609, 439183, 441937, 448397, 457411, 457687, 458207, 482519, 527993

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 quartet, quintet, sextet; A054819 .. A054840: members of weak prime quartet, quintet, sextet, septets.

Programs

Mathematica

Transpose[Select[Partition[Prime[Range[100000]],7,1],Min[ Differences[ #,2]] > 0&]][[4]] (* Harvey P. Dale, Aug 29 2013 *)

Formula

a(n) = A151800(A054836(n)) = A151799(A054838(n)), A151800 = nextprime, A151799 = prevprime; A054837 = { m = A054830(n) | m = nextprime(A054830(n-1)) }. - M. F. Hasler, Oct 27 2018

Extensions

More terms from Harvey P. Dale, Aug 29 2013