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2017 ITAMO
6
6
Part of
2017 ITAMO
Problems
(1)
ITAmo 2017, P6
Source: ITAmo 2017
5/5/2017
Prove that there are infinitely many positive integers
m
m
m
such that the number of odd distinct prime factor of
m
(
m
+
3
)
m(m+3)
m
(
m
+
3
)
is a multiple of
3
3
3
.
number theory