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 A122564 #6 May 17 2021 14:25:43 %S A122564 3,5,11,13,59,61,71,73,107,109,179,181,191,193,227,229,239,241,311, %T A122564 313,347,349,419,421,431,433,599,601,659,661,827,829,1019,1021,1031, %U A122564 1033,1091,1093,1151,1153,1319,1321,1427,1429,1451,1453,1487,1489,1607,1609 %N A122564 Twin primes of form 4k-1, 4k+1. %H A122564 Harvey P. Dale, <a href="/A122564/b122564.txt">Table of n, a(n) for n = 1..1000</a> %e A122564 a(3)=11=4*3-1, a(4)=13=4*3+1 %p A122564 i:=1:for k from 1 to 600 do if isprime(4*k-1) and isprime(4*k+1) then a[i]:=4*k-1:a[i+1]:=4*k+1: i:=i+2 fi od: seq(a[n],n=1..i-1); %t A122564 Select[Partition[Prime[Range[300]],2,1],#[[2]]-#[[1]]==2&&Divisible[ Mean[ #],4]&]//Flatten (* _Harvey P. Dale_, May 17 2021 *) %Y A122564 Cf. A001097. %K A122564 nonn %O A122564 1,1 %A A122564 _Miklos Kristof_, Sep 21 2006