Question 26
Positive integers $p,q$ are primes and satisfy
$$\frac{p}{p+1}+\frac{q+1}{q}=\frac{2n}{n+2}$$
for some positive integer $n$. Determine all possible values of $q-p$.
$$\frac{p}{p+1}+\frac{q+1}{q}=\frac{2n}{n+2}$$
for some positive integer $n$. Determine all possible values of $q-p$.