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by egillie 460 days ago
All of my passwords are encoded in pi…somewhere
2 comments

Well, probably! But it hasn't actually been proven yet that pi is a "normal number" [0], though most mathematicians think it must be.

[0] https://en.wikipedia.org/wiki/Normal_number#

That's a stronger claim anyhow. We'd merely need Pi to be a rich number, ... which hasn't been proven either.

https://en.wikipedia.org/wiki/Disjunctive_sequence#Rich_numb...

It's not necessary that pi be normal in order for it to contain every possible sequence. Sufficient, but not necessary.
If the OP is anything like me, then they have no trust in number theory researchers and deliberately choose passwords like "141592" so they can be sure
I enjoy thinking about this. Not only is a sequence of digits encoding the complete works of Shakespeare in there somewhere, it's in there again. And again, an infinite number of times.
In my encoding I represent the works of Shakespeare by the digit 0, anything else by the digit 1 followed by its ASCII representation.