Find integer $n$ for which $n$ divide $2^n +1$.
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Since $n$ is any integer, then $n=1$ will do.

Alessio K
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$0$ divides $0$ as well (under most reasonable definitions), so if you're going to include these edge cases $n=0$ ought to be mentioned as well. – JMoravitz Oct 06 '20 at 12:43