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JOM 2014
1.
1.
Part of
JOM 2014
Problems
(1)
Product of factors
Source: Junior Olympiad of Malaysia 2014 P1
7/20/2015
Let
f
(
n
)
f(n)
f
(
n
)
be the product of all factors of
n
n
n
. Find all natural numbers
n
n
n
such that
f
(
n
)
f(n)
f
(
n
)
is not a perfect power of
n
n
n
.
number theory