product of consecutive prime numbers

Happy new year.

I am studying the product of consecutive prime numbers. For the $$n$$-th prime number $$p_n$$, I denote $$\mu_{n}=p_1 p_2 \ldots p_n$$.

The problem is that I can not search for the properties of $$\mu_{n}$$.

Thus, I'd like to know some properties about the $$\mu_{n}$$. It does not have to have detail. I wonder just name of theorem or related some paper.

Thanks!

• Welcome to Mathematics Stack Exchange. Cf. primorials, denoted $p_n\#$ – J. W. Tanner Dec 31 '19 at 13:14
• Oh! really thank for help. Happy new year! – himath Dec 31 '19 at 13:17

The product of the first $$n$$ primes is called primorial and denoted $$p_n\#$$.