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2009 Greece Junior Math Olympiad
1
Easy Number Theory
Easy Number Theory
Source: Archimedes Junior 2009
March 17, 2020
number theory
Problem Statement
If the number
K
=
9
n
2
+
31
n
2
+
7
K = \frac{9n^2+31}{n^2+7}
K
=
n
2
+
7
9
n
2
+
31
is integer, find the possible values of
n
∈
Z
n \in Z
n
∈
Z
.
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