login
Fourth term of weak prime sextet: 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).
2

%I #8 Sep 18 2022 15:19:07

%S 2927,13487,13913,14969,15391,15401,21419,21569,21881,28289,30893,

%T 33223,35603,37717,42239,42589,45833,55673,64679,64937,64951,68219,

%U 68227,68909,68917,73961,74219,78607,83117,85531,87337,88019,90931

%N Fourth term of weak prime sextet: 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).

%H Harvey P. Dale, <a href="/A054831/b054831.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Partition[Prime[Range[9000]],6,1],Min[Differences[#,2]]>0&][[All,4]] (* _Harvey P. Dale_, Sep 18 2022 *)

%Y Cf. A051635, A054800-A054840.

%K nonn

%O 1,1

%A _Henry Bottomley_, Apr 10 2000