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No, all strings theoretically exist in 𝛑 given enough digits, so longer strings don't reduce probability of existence, they just mean that it will take more digits to find them.



See Borell-Cantelli lemma.


I looked this up but I’m not sure I grasp your point.

Are you saying that:

- given a long string, we might ask β€œcan this string be found in PI?”

- the probability of finding a long string in PI is infinitely small

- the number of possible strings in PI is infinitely large

- it’s not possible to decide if the answer is yes or no?




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