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kodlu
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I understand that there is currently no proof in any base for whether $\pi$ is normal or disjunctive.

Are there any proofs of whether specific sequences of numbers are infinitely occurring in $\pi$? For instance, is there a formal proof that 1 is infinitely occurring in the decimal expansion of $\pi$?

I understand that there is currently no proof in any base for whether $\pi$ is normal or disjunctive.

Are there any proofs of whether specific sequences of numbers are infinitely occurring in $\pi$? For instance, is there a formal proof that 1 is infinitely occurring in $\pi$?

I understand that there is currently no proof in any base for whether $\pi$ is normal or disjunctive.

Are there any proofs of whether specific sequences of numbers are infinitely occurring in $\pi$? For instance, is there a formal proof that 1 is infinitely occurring in the decimal expansion of $\pi$?

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skytect
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Proof that $\pi$ has infinitely many $1$s

I understand that there is currently no proof in any base for whether $\pi$ is normal or disjunctive.

Are there any proofs of whether specific sequences of numbers are infinitely occurring in $\pi$? For instance, is there a formal proof that 1 is infinitely occurring in $\pi$?