%I A057715
%S A057715 12,24,40,45,48,56,63,80,96,112,135,144,160,175,176,189,192,208,224,
%T A057715 275,288,297,320,325,351,352,384,405,416,425,448,459,475,513,539,544,
%U A057715 567,575,576,608,621,637,640,675,704,720,736,768,800,832,833,864,875
%N A057715 If (p_k)^(c_k) is highest power of p_k dividing n (where p_k is a prime 
               dividing n and p_k > p_j for all k > j), then (p_k)^(c_k) < (p_j)^(c_j) 
               for all k > j.
%H A057715 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A057715 720 is included because 720 = 2^4 *3^2 *5^1 and 2^4 > 3^2 > 5^1.
%t A057715 Select[Range[575], Greater @@ Power @@@ (fi = FactorInteger[ # ]) && 
               Length[fi] > 1 &] [From Ray Chandler (rayjchandler(AT)sbcglobal.net), 
               Nov 06 2008]
%Y A057715 Sequence in context: A126855 A102749 A085231 this_sequence A053990 A026365 
               A051435
%Y A057715 Adjacent sequences: A057712 A057713 A057714 this_sequence A057716 A057717 
               A057718
%K A057715 nonn
%O A057715 0,1
%A A057715 Leroy Quet Oct 24 2000