this post was submitted on 26 Dec 2024
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Disclaimer: haven't done this type of math in years.
The problem is math is strick about absolutes, so we have to be able to prove things to say 100%. The tricky part of that with this question is that "no pattern" random doesn't mean "equally likely" random.
When I flip a coin it's equally likely that its heads or tails, so we as humans consider it random.
We know how coin flips work, and can mathematically tell you things like "to get 100 heads in a row you need to flip about a million times on average" (idk actual odds).
Then we call things we don't see a pattern in random, 16364758858271716165536618183636471771 is a random number I types out, but since I didn't include 9 no matter how many times I hit 1-8 we will never find 191.
Pi is more like the second type of random, we can't find any pattern in it, although a quick Google search says every digit seems to be used equally.
Infinity is weird, and pi hitting every number equally is a good sign, but without being able to figure out its pattern I can't prove that after 100 billion it doesn't start being all 1s or only od numbers, or only 1-8 etc. so while I believe it's 100% for every number, math nerds will hesitate to say it's 100% since it can't be proved.