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Is it possible to find a certain encoded formula of PI inside the PI digits itself, given its length?


Do you mean in the computed 202T digits of Pi, on in in the infinite sequence of Pi digits? In case of the latter: s̶u̶r̶e̶, probably, if Pi is normal, any finite sequence of digits is contained somewhere in Pi, so it would contain (in encoded form) any closed formula and any program, book, or piece of music ever written.

E: As the comments have pointed out, this requires the conjecture that Pi is normal to be true, was has not been proven or disproven yet.


I thought this wasn't actually mathematically established - the related property would be whether or not pi is normal.


Is this known to be true? Its obviously not true for arbitrary irrational numbers


I meant the computed digits. Probably unlikely




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