Are there infinitely many composite numbers of the form
$$n\# + 1$$
where $n$ is a prime number? What about $n\# - 1$?
Here $n\#$ denotes the primorial function of $n$, i.e. the product of all primes less than or equal to $n$.
I know the proof for the factorial version $n! \pm 1$, but I have no idea where to start from for this one. Any help will be appreciated!