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International Contests
Pan African
2001 Pan African
1
find positive integer n
find positive integer n
Source: Pan African 2001
October 4, 2005
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quadratics
Problem Statement
Find all positive integers
n
n
n
such that:
n
3
+
3
n
2
+
7
\dfrac{n^3+3}{n^2+7}
n
2
+
7
n
3
+
3
ā
is a positive integer.
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