A109269 - OEIS

%I #10 Dec 30 2023 16:11:23

%S 5,7,13,19,23,27,29,32,34,35,37,42,43,44,46,47,49,53,55,58,61,63,68,

%T 69,71,75,77,80,82,83,86,88,89,93,98,101,102,103,107,108,113,118,119,

%U 121,127,128,131,132,133,135,136,139,142,143,144,145,149,152,155,161,164

%N Numbers n such that n^2 < (1/2)*(prevprime(n^2)+nextprime(n^2)).

%e 7 is in the sequence because 49 is less than (47+53)/2=50,

%e 8 is not in the sequence because 64=(61+67)/2.

%p 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 Cf. A075190, A109270.

%K nonn

%O 1,1

%A _Zak Seidov_, Jun 24 2005

%E More terms from _Emeric Deutsch_, Jun 26 2005