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A182693
a(n) = the smallest 3-digit number with exactly n divisors, a(n) = 0 if no such number exists.
1
0, 101, 121, 106, 625, 116, 729, 102, 100, 112, 0, 108, 0, 192, 144, 120, 0, 180, 0, 240, 576, 0, 0, 360, 0, 0, 900, 960, 0, 720, 0, 840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
OFFSET
1,2
COMMENTS
max {n : a(n) > 0} = 32, a(n) = 0 for n > 32.
FORMULA
a(n) = min {99 < k < 1000 : A000005(k)=n} if set is nonempty, else a(n) = 0.
MAPLE
with (numtheory):
b:= n-> `if` (type (n, integer), n, 0):
a:= n-> b (min (select (x-> tau(x)=n, [$100..999])[])):
seq (a(n), n=1..60);
CROSSREFS
Sequence in context: A105992 A038370 A084430 * A328996 A046075 A088882
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Nov 27 2010
EXTENSIONS
Edited by Alois P. Heinz, Nov 27 2010
STATUS
approved