The function defined by 
,
where 
is a prime number and 
is a primorial. The values
for 
,
3, ..., are 4, 46656, 205891132094649000000000000000000000000000000, ... (OEIS A165812).
Ultraprimorial
See also
Primorial, UltrafactorialExplore with Wolfram|Alpha
References
Sloane, N. J. A. Sequence A165812 in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
UltraprimorialCite this as:
Weisstein, Eric W. "Ultraprimorial." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Ultraprimorial.html