Quote:
Originally Posted by Dr Sardonicus
Presumably you mean
or the same polynomials with the argument x! replaced with x#?

I'm not fully understanding your notation.
5! = 5*4*3*2*1 so 5!^3 = (5*4*3*2*1)^3
5# = 5*3*2 so 5#^3 = (5*3*2)^3
Here is a list of factorial primes:
https://primes.utm.edu/top20/page.php?id=30
Here is a list of primorial primes:
https://primes.utm.edu/top20/page.php?id=5.