%I
%S 4,6,8,9,10,12,14,15,18,21,22,25,26,27,30,33,34,35,38,39,40,45,46,49,
%T 50,51,55,56,57,58,62,63,65,69,70,74,75,77,82,84,85,86,87,91,93,94,95,
%U 98,105,106,111,115,118,119,121,122,123,125,129,132,133,134
%N Numbers m whose greatest divisor <= sqrt(m) is prime.
%C The squares of the primes are in the sequence.
%H Amiram Eldar, <a href="/A282668/b282668.txt">Table of n, a(n) for n = 1..10000</a>
%F {n: A033676(n) in A000040}.  _R. J. Mathar_, Feb 23 2017
%e 15 is a term since its biggest divisor <= sqrt(15) is 3 (this is a not sqrt(15)smooth example).
%e 18 is a term since its biggest divisor <= sqrt(18) is 3 (this is a sqrt(18)smooth example).
%e 24 is not a term since its biggest divisor <= sqrt(24) is 4 (this is a sqrt(24)smooth counterexample).
%e 42 is not a term since its biggest divisor <= sqrt(42) is 6 (this is a not sqrt(42)smooth counterexample).
%t f[m_]:=Module[{A=Divisors[m],a},a=Length[A];A[[Floor[(a+1)/2]]]];
%t Select[Range[176],PrimeQ[f[#]]&]
%Y Cf. A048098, A064052.
%K nonn
%O 1,1
%A _Emmanuel Vantieghem_, Feb 20 2017
