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 A174243 #8 May 13 2022 17:15:47 %S A174243 7,75,178,209,371,431,497,516,679,770,802,830,858,931,957,1221,1232, %T A174243 1251,1309,1397,1419,1545,1567,1683,1713,1714,1834,1901,1991,2337, %U A174243 2408,2441,2505,2623,2651,2673,2726,3142,3223,3269,3349,3386,3387,3461,3492 %N A174243 Least of 5 consecutive integers such that their product is the average of a twin prime pair. %C A174243 7*8*9*10*11=55440 +-1 -> primes,.. %H A174243 Harvey P. Dale, <a href="/A174243/b174243.txt">Table of n, a(n) for n = 1..1000</a> %t A174243 f1[n_]:=PrimeQ[n-1]&&PrimeQ[n+1];f2[n_]:=n*(n+1)*(n+2)*(n+3)*(n+4);lst={};Do[If[f1[f2[n]],AppendTo[lst,n]],{n,8!}];lst %t A174243 Select[Partition[Range[3500],5,1],AllTrue[Times@@#+{1,-1},PrimeQ]&][[All,1]] (* _Harvey P. Dale_, May 13 2022 *) %Y A174243 Cf. A014574, A174242 %K A174243 nonn %O A174243 1,1 %A A174243 _Vladimir Joseph Stephan Orlovsky_, Mar 13 2010 %E A174243 Definition modified by _Harvey P. Dale_, May 13 2022