Let $q\geq 2$. Then $q+1 \vert q^n + 1 \iff \ n$ is odd
How can I prove it?
I don't know how to start.
Any hints?.
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Hint: factor the polynomial $f(x)=x^{2n+1}+1$ noting that $f(-1)=0$. – lulu May 14 '17 at 17:26
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@lulu good hint – u8y7541 May 14 '17 at 17:27