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Baltic Way
2002 Baltic Way
18
18
Part of
2002 Baltic Way
Problems
(1)
Baltic way 2002
Source:
3/20/2010
Find all integers
n
>
1
n>1
n
>
1
such that any prime divisor of
n
6
−
1
n^6-1
n
6
−
1
is a divisor of
(
n
3
−
1
)
(
n
2
−
1
)
(n^3-1)(n^2-1)
(
n
3
−
1
)
(
n
2
−
1
)
.
number theory proposed
number theory