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Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
78
78
Part of
PEN A Problems
Problems
(1)
A 78
Source:
5/25/2007
Determine all ordered pairs
(
m
,
n
)
(m, n)
(
m
,
n
)
of positive integers such that
n
3
+
1
m
n
−
1
\frac{n^{3}+1}{mn-1}
mn
−
1
n
3
+
1
is an integer.
Divisibility Theory