This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A154667 #14 Sep 08 2022 08:45:40
%S A154667 4,6,30,60,138,180,240,420,618,1050,1608,1698,1788,2268,2310,2730,
%T A154667 3258,3390,3528,3768,4158,4218,4338,4800,5640,5868,6660,6690,6870,
%U A154667 6960,7488,7548,7590,8538,8628,8970,9630,9858,9930,10458,11118,11970,12540,13338
%N A154667 Averages of twin prime pairs such that p1 * p2 + AverageTwinPrime is prime.
%H A154667 Amiram Eldar, <a href="/A154667/b154667.txt">Table of n, a(n) for n = 1..10000</a>
%e A154667 3*5 + 4 = 19.
%e A154667 5*7 + 6 = 41.
%t A154667 lst={};Do[If[PrimeQ[n-1]&&PrimeQ[n+1],If[PrimeQ[(n-1)*(n+1)+n],AppendTo[lst,n]]],{n,8!}];lst
%o A154667 (Magma) [p+1:p in PrimesUpTo(14000)|IsPrime(p+2) and IsPrime(p*(p+2)+p+1)]; // _Marius A. Burtea_, Dec 21 2019
%Y A154667 Cf. A154666.
%Y A154667 A014574 INTERSECT A045546. - _R. J. Mathar_, May 31 2010
%K A154667 nonn
%O A154667 1,1
%A A154667 _Vladimir Joseph Stephan Orlovsky_, Jan 13 2009