[Math] product of consecutive prime numbers

number theoryprime 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!

Best Answer

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

You can read more about them on Wikipedia or MathWorld.

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