Coming from a post on theydidthemath talking about Pi, all the top answers begin by explaining that **if** we consider Pi to be a “normal number”, then etc. They also mention we haven’t been able to prove whether it’s a normal number or not yet. What’s that about?
In: Mathematics
A normal number is a number with infinite digits that doesn’t repeat, and those infinite digits have a completely random distribution.
So far, all the digits of Pi we’ve seen have a completely random distribution.
So far, as far as we can tell, it is a Normal number since it has a random distribution.
But Math is much more rigorous than even science.
Nobody has been able to disprove, for example, that after the 10^100000000000000^1000000000 th digit, the number 2 stops appearing, or something like that to make the distribution of digits stop being random.
There are plenty of numbers with infinite digits that don’t repeat that aren’t randomly distributed. The first number we proved was infinite and non-repeating had only the digits 1 and 0.
We don’t know one way or the other about pi.
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