Can $x^n-(x-1)^n$ be Prime if $n$ is Not Prime? I'm hoping someone can provide an answer or a link to a proof regarding this question.
Edit:
The question has been put on hold because I did not expound on why the answer to this was of interest to me or the community, so, even though I've received my answer, I will elaborate.
In my spare time I've been attempting to develop novel ways of generating odd compound numbers as well as primes. A pattern emerged as I iterated across $\mathbb{n \in N}$. Prime numbers were only turning up where $\mathbb{n \in P}$.

Hint: $x^n - y^n$ is divisible by $x^r - y^r$ if $r$ divides $n$.
