%I A061799
%S A061799 1,2,4,6,12,12,24,24,36,48,60,60,120,120,120,120,180,180,240,240,360,
%T A061799 360,360,360,720,720,720,720,720,720,840,840,1260,1260,1260,1260,1680,
%U A061799 1680,1680,1680,2520,2520,2520,2520,2520,2520,2520,2520,5040,5040,5040
%N A061799 Smallest number with at least n factors.
%C A061799 a(5)=12 since every number less than 12 has fewer than five factors (1 
               has one; 2,3,5,7 and 11 have two each; 4 and 9 have three each; 6,
               8 and 10 have four each) while 12 has at least five (in fact it has 
               six: 1,2,3,4,6 and 12).
%C A061799 Smallest number which can be expressed as the least common multiple of 
               n distinct numbers. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), 
               Nov 27 2002
%H A061799 T. D. Noe, <a href="b061799.txt">Table of n, a(n) for n=1..2000</a> (using 
               A002182)
%o A061799 (PARI) for(n=1,100,s=n; while(numdiv(s)<n,s++); print1(s,","))
%Y A061799 Cf. A000005, A002182, A002183, A005179.
%Y A061799 Sequence in context: A053146 A056675 A062857 this_sequence A076868 A056793 
               A137387
%Y A061799 Adjacent sequences: A061796 A061797 A061798 this_sequence A061800 A061801 
               A061802
%K A061799 nice,nonn
%O A061799 1,2
%A A061799 Henry Bottomley (se16(AT)btinternet.com), Jun 22 2001