Pi is infinite, but not random. 1/3rd for example is certain not to contain a 4, but i found my full birthday in Pi. Is there proof that every conceivable combination of numbers, such as all Natural numbers in order? I'm having a hard time imagining how all natural numbers could have something before and after them though so can it be proven that every finite numbercombination is found in Pi, such as every birthday of every person in chronological order and everyones creditcard pin and then some. Or is it likely/unlikely/impossible(or impossible to tell)? I'm asking out of my own curiosity.

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    Check this question: https://math.stackexchange.com/questions/216343/does-pi-contain-all-possible-number-combinations – michalis vazaios Mar 23 '20 at 21:16
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    It has neither been proven nor disproven. I’d guess most mathematicians believe it is true, because it is true for “most” real numbers. But proving it is hard for any number. For example, it is unknown if any $\sqrt{n}$ has this property when $n$ is a natural number that is not a perfect square. – Thomas Andrews Mar 23 '20 at 21:19

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