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BdMO Online Forum • View topic - Determine n

Determine n

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Determine n

Post Number:#1  Unread postby Katy729 » Sun May 21, 2017 2:44 am

Determine if there are integers $n$ so that $n^2-4$ has exactly $10$ divisors (positive).
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Re: Determine n

Post Number:#2  Unread postby asif e elahi » Fri Jun 02, 2017 8:49 am

Sketch:
Suppose $n$ is such an integer. Prove that $n^2-4=pq^4$ for some prime $p,q$. Deduce that $q=2$.......
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