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 A129386 #6 Dec 05 2020 02:13:37
%S A129386 2,3,7,11,19,23,43,51,57,91,119,143,167,255,263,315,355,403,475,525,
%T A129386 579,595,611,679,691,839
%N A129386 Records in A129385.
%e A129386 As can be gathered from A129385, the first four records are A129385(0) = 2, A129385(1) = 3, A129385(15) = 7, A129385(23) = 11. Hence a(1) to a(4) are 2, 3, 7, 11.
%o A129386 (PARI) lista(nn) = {my(m, q, r); for(k=2, nn, if(k%4 && !(k%2 && isprime((k+1)/2)), q=4+k%2; while(!ispower(q, , &m) || !isprime((q+k)/2), q+=2); if(m>r, print1(m, ", "); r=m))); } \\ _Jinyuan Wang_, Dec 04 2020
%Y A129386 Cf. A129385, A129387 (where records occur).
%K A129386 nonn,more
%O A129386 1,1
%A A129386 _Klaus Brockhaus_, Apr 14 2007
%E A129386 a(16) inserted by and a(19)-a(26) from _Jinyuan Wang_, Dec 04 2020