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Find all positive integers $n$ for which $n^2$ divides $2^n+1$.

Alex Wertheim
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    The solution can be found here http://www.artofproblemsolving.com/Resources/Papers/SatoNT.pdf on page 33. But id try to prove it before you look at the solution. – user60887 Aug 09 '13 at 21:58

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