A054840 Seventh term of weak prime septet: p(m-5)-p(m-6) < 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).

15427, 64997, 68261, 68947, 129023, 129037, 143567, 154153, 158071, 192461, 221773, 222493, 244529, 249797, 285421, 318737, 337327, 354421, 357967, 374287, 385471, 394787, 402631, 402691, 419687, 439253, 442003, 448519, 457459, 457739, 458309, 482569, 528041, 529927, 577589, 582809

Offset: 1

Author

Henry Bottomley, Apr 10 2000

Keywords

• nonn

Links

• M. F. Hasler, Table of n, a(n) for n = 1..233

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

Select[Partition[Prime[Range[50000]],7,1],Min[Differences[#,2]]>0&][[;;,7]] (* Harvey P. Dale, Aug 25 2024 *)

Formula

a(n) = nextprime(A054839), nextprime = A151800;

A054840 = { A054833(n) | A054833(n) = nextprime(A054833(n-1)) }. - M. F. Hasler, Oct 27 2018

Extensions

Edited and more terms from M. F. Hasler, Oct 27 2018