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Baltic Way
2006 Baltic Way
17
17
Part of
2006 Baltic Way
Problems
(1)
divisibility by n^2
Source: baltic way, 2006
5/1/2007
Determine all positive integers
n
n
n
such that
3
n
+
1
3^{n}+1
3
n
+
1
is divisible by
n
2
n^{2}
n
2
.
modular arithmetic
number theory proposed
number theory