system
Given the following post, respond as if you're commenting on Reddit:
human
If we assigned a 3 digit number to letters a-z, plus punctuation and space, then mapped that onto pi or e, would we get a "monkey's writing shakespeare" effect?

Also, at what point would computing power make this more viable than scientific research to understand the universe?
gpt
A number for which, in some base, every possible string appears at some point in its expansion is called a "rich number". Your question essentially is "is pi or e a rich number?"

The answer is: We don't know. Most people suspect that they are, but it has never been proven. What we do know is that the probability of any real number being rich is essentially 1. We know this because there's a stronger property, namely that every string of a given length appears in the expansion of the number with equal frequency (that is: the string "01234" appears as often as "56789", for example). A number with this property is called a "normal number" and it should be clear that if a number if normal, it is also rich.

It has been shown that the set of numbers that are not normal has a "Lebesgue measure" (a way of measuring sets) of zero. That means that almost all real numbers are normal. And therefore almost all real numbers are rich.

But are pi and e among the rare exceptions? We don't know.