I guess n would be infinite in the limit I’m looking for. I’m looking at this in like a “musing about theoretical complexity” angle rather than actually needing to use or know how to use pi on modern systems.

For the record, I realize how incredibly pedantic I’m being about the difference between the irrational pi and rational approximations of pi that end up being actually useful. That being said, computational complexity has enough math formalism stink on it that pedantry seems encouraged