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BdMO Online Forum • View topic - Determine n

## Determine n

For discussing Olympiad Level Number Theory problems

### Determine n

Determine if there are integers \$n\$ so that \$n^2-4\$ has exactly \$10\$ divisors (positive).
Katy729

Posts: 37
Joined: Sat May 06, 2017 2:30 am

### Re: Determine n

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

asif e elahi

Posts: 183
Joined: Mon Aug 05, 2013 12:36 pm