This isn't homework, but an interest question I found on the web. I can't solve it though...(adsbygoogle = window.adsbygoogle || []).push({});

Let [itex]p[/itex] be an odd prime. Determine all pairs [itex](m,n)[/itex] where m and n are positive integers and satisfy the below:

[tex](p-1)(p^n+1)=4m(m+1)[/tex].

I have done by some simple inspection that m must be odd, but I'm not sure that helps. Does anyone know any theorems that may help?

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# Find Solutions- Number Theory

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