A160264 Least prime of a 6-tuplet that contains both a prime quadruple and a sexy prime quadruple.

11, 1481, 1861, 5641, 88801, 165701, 266671, 284731, 326141, 402751, 626611, 661091, 855721, 959461, 1022501, 1068241, 1068701, 1118851, 1146781, 1155601, 1246361, 1461401, 1573921, 1830331, 1917731, 2674531, 2683771, 3058871

Offset

1,1

Comments

Sequence is probably infinite.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..165

Example

6-tuplet 5641 5647 5651 5653 5657 5659, contains sexy prime quadruple 5641 5647 5653 5659, and prime quadruple 5651 5653 5657 5659.

Mathematica

stQ[n_]:=Module[{ss4=Subsets[n, {4}]}, AnyTrue[ss4, Differences[#]=={6, 6, 6}&] && AnyTrue[ss4, Differences[#]=={2, 4, 2}&]]; Select[Partition[Prime[ Range[ 221000]], 6, 1], stQ][[All, 1]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jun 24 2020 *)

Crossrefs

Cf. A023271, A007530.

Sequence in context: A068896 A286650 A015027 * A351597 A076168 A053884

Adjacent sequences: A160261 A160262 A160263 * A160265 A160266 A160267

Keyword

nonn

Author

Ki Punches, May 05 2009

Extensions

Extended by Ray Chandler, May 23 2009

Status

approved