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2020 ASDAN Math Tournament
9
2020 Team #9
2020 Team #9
Source:
October 24, 2023
team test
Problem Statement
A positive integer
n
n
n
has the property that, for any
2
2
2
integers
a
a
a
and
b
b
b
, if
a
b
+
1
ab + 1
ab
+
1
is divisible by
n
n
n
, then
a
+
b
a + b
a
+
b
is also divisible by
n
n
n
. What is the largest possible value of
n
n
n
?
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