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Argentina National Olympiad
2011 Argentina National Olympiad
5
5
Part of
2011 Argentina National Olympiad
Problems
(1)
n^3-1 is divisible by 10^6 n−1
Source: 2011 Argentina OMA Finals L3 p5
1/15/2023
Find all integers
n
n
n
such that
1
<
n
<
1
0
6
1<n<10^6
1
<
n
<
1
0
6
and
n
3
−
1
n^3-1
n
3
−
1
is divisible by
1
0
6
n
−
1
10^6 n-1
1
0
6
n
−
1
.
number theory
divides
divisible