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78
A 78
A 78
Source:
May 25, 2007
Divisibility Theory
Problem Statement
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.
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