On: Computation of the n'th digit of pi in any base in...

[TeMPOraL]

That's easy. The hard question is, in what base this answer is correct?

[prerok → TeMPOraL]

In base pi, the pi number is 1. Similarly, if we would take any base, which is a factor of pi, we could have any number be the last digit.

All the above is a joke, of course, as it does not really tackle the problem :)

[TeMPOraL → prerok]

Yeah, that's what my joke is about - once we allow for fractional bases, I'm pretty sure we can find one where the last digits of Pi are the ones ChatGPT gave. The trick is, to write down the base as a number, without referencing Pi, you'll have to do the equivalent of finding those last digits in Base 10, i.e. infinite work. This is to illustrate conservation of effort ;).

[nwellnhof → prerok]

pi is '10' in base pi.

[prerok → nwellnhof]

Nope. Is 10 actually 1 in base 10?

Redacted: see below.

[prerok → prerok]

But you are kind of spot on regarding counting in bases with real numbers. I have not thought it through properly but it was meant as a joke anyway.