system
Given the following post, respond as if you're commenting on Reddit:
human
Could I make the case that any sequence of numbers i choose at random, no matter how long, like 53948714, can be found somewhere along the digits of pi?
gpt
The property that every finite sequence of digits can be found at some point in the decimal expansion of a number is called "normality". A "normal number" is a number that has this property. So your question becomes: Is pi normal?

The answer is: Probably, we don't know.

It can be shown that almost all real numbers are normal ("almost all" being a technical term that means that the set of exceptions has a Lebesgue measure (which is a way of measuring sets) of zero), but we can also construct examples of real numbers that have a non-terminating, non-repeating decimal expansion that don't contain every sequence of digits (for example: 0.10110011100011110000...).

Whether pi is normal or not is still an open question, but the fact that almost all numbers are normal makes it very reasonable to assume that it is.