The primorial function is defined as $$p_n\#=\prod_{k=1}^{n}p_k$$ where $p_k$ is the $k$th prime (the more general definition is $n\#=\prod_{k=1}^{\pi(n)}p_k$, where $\pi(\cdot)$ is the prime counting function). I can't find much information about this. The wikipedia article gives only some basic facts, of which most of them I can prove myself. I want some more detailed information about it. These types of articles are needed:
- Articles which study primorials as a main goal, rather than studying some other thing, and just giving some info about it at some point.
- I would love any article about it, but the articles that would be the most helpful would be article that study the primality of $p_n\#+1$, and/or the sum $\sum_{p\in\Bbb{P}}\frac{1}{p\#},$ where $\Bbb{P}$ is the set of primes, and/or bounds and asymptotic formulas for primorial.
