this post was submitted on 22 Jan 2024
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Not necessarily. It could just become a series of 1's repeating forever. Nothing would require it to contain all strings of numbers.
The point of pi is that it’s non-repeating
Take a look at 0.101001000100001... This number is also non-repeating, but obviously doesn't contain all numbers with finite digits.
The property you're looking for is called to be a normal number. Pi is assumed to be one, but it hasn't yet been proven.
However, in a sense this is an unremarkable property as almost all real numbers are normal. :)