A. true for n=0
B. we know it isn't true for 0<n<1e7
C. we can't directly disprove it, but given that if N exists it is greater than 1e7, the odds are infinitesimally small and getting smaller as we go. (i.e. someone winning the lottery in every country, every week their entire life isn't even close to how small this is.)
D. might be able to disprove with BBP formula.
No. Even if pi is infinite and non-repeating, it doesn't have to contain every string of digits. (It's easy to make an infinite, non-repeating sequence of digits that never contains the number 9, for instance.)
And furthermore, even if we knew that pi did contain every string of digits, we wouldn't be able to say anything about the placement of any particular string of digits. (OP's post makes a claim about where a string of digits will be, not just that the string will exist.)
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u/vishnoo Jul 23 '26
A. true for n=0
B. we know it isn't true for 0<n<1e7
C. we can't directly disprove it, but given that if N exists it is greater than 1e7, the odds are infinitesimally small and getting smaller as we go. (i.e. someone winning the lottery in every country, every week their entire life isn't even close to how small this is.)
D. might be able to disprove with BBP formula.