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National and Regional Contests
Netherlands Contests
Dutch IMO TST
2017 Dutch IMO TST
3
easy NT problem
easy NT problem
Source: Netherlands TST for IMO 2017 day 3 problem 3
February 1, 2018
number theory
Problem Statement
Compute the product of all positive integers
n
n
n
for which
3
(
n
!
+
1
)
3(n!+1)
3
(
n
!
+
1
)
is divisible by
2
n
ā
5
2n - 5
2
n
ā
5
.
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