Reciprocals by 2

For integers \( n \geq 2 \),

\[ \frac{1}{n-1} + \frac{1}{n+1} = \frac{p}{q}, \]

where \(p\) and \(q\) are positive coprime integers.

Is \( p^2 + q^2 \) a perfect square?

×

Problem Loading...

Note Loading...

Set Loading...