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2008 Austria Beginners' Competition
1
2^n/ n^2 is integer
2^n/ n^2 is integer
Source: 2008 Austria Beginners' Competition p1
October 12, 2022
number theory
Integer
Problem Statement
Determine all positive integers
n
n
n
such that
2
n
n
2
\frac{2^n}{n^2}
n
2
2
n
is an integer.
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