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 A109269 #10 Dec 30 2023 16:11:23 %S A109269 5,7,13,19,23,27,29,32,34,35,37,42,43,44,46,47,49,53,55,58,61,63,68, %T A109269 69,71,75,77,80,82,83,86,88,89,93,98,101,102,103,107,108,113,118,119, %U A109269 121,127,128,131,132,133,135,136,139,142,143,144,145,149,152,155,161,164 %N A109269 Numbers n such that n^2 < (1/2)*(prevprime(n^2)+nextprime(n^2)). %e A109269 7 is in the sequence because 49 is less than (47+53)/2=50, %e A109269 8 is not in the sequence because 64=(61+67)/2. %p A109269 a:=proc(n) if n^2< (1/2)*(prevprime(n^2)+nextprime(n^2)) then n else fi end: seq(a(n),n=2..200); # _Emeric Deutsch_, Jun 26 2005 %Y A109269 Cf. A075190, A109270. %K A109269 nonn %O A109269 1,1 %A A109269 _Zak Seidov_, Jun 24 2005 %E A109269 More terms from _Emeric Deutsch_, Jun 26 2005