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Putnam
2005 Putnam
A1
A1
Part of
2005 Putnam
Problems
(1)
Putnam 2005 A1
Source:
12/5/2005
Show that every positive integer is a sum of one or more numbers of the form
2
r
3
s
,
2^r3^s,
2
r
3
s
,
where
r
r
r
and
s
s
s
are nonnegative integers and no summand divides another. (For example,
23
=
9
+
8
+
6.
)
23=9+8+6.)
23
=
9
+
8
+
6.
)
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