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17^n +9^{n^2} = 23^n +3^{n^2} 2014 Romania NMO VII p3
17^n +9^{n^2} = 23^n +3^{n^2} 2014 Romania NMO VII p3
Source:
August 15, 2024
number theory
Problem Statement
Find all positive integers
n
n
n
so that
1
7
n
+
9
n
2
=
2
3
n
+
3
n
2
.
17^n +9^{n^2} = 23^n +3^{n^2} .
1
7
n
+
9
n
2
=
2
3
n
+
3
n
2
.
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