Is 48p−47p${48}^p-{47}^p$ ever prime?

I was examining primes q that are q=(n+1)p−np$q=(n+1{)}^p-n^p$ with p also prime. There seems to be more than one solution for most n. In the table below all the first solutions of p up to 2000 and for n up to 200:

Question: Is there a way to prove that q=48p−47p$q={48}^p-{47}^p$ is never prime? After factoring 48p−47p${48}^p-{47}^p$ for several p, I found the smallest prime factor is always ≡1(modp)$\equiv 1(\mathrm{mod}p)$ but I don't see how this helps.