10 ms·
I'm no math expert, but to me the only question that should matter is: how random is the parity distribution of digits in pi? If the answer is "perfectly random
by umvi 8y ago
I'm no math expert, but to me the only question that should matter is: how random is the parity distribution of digits in pi? If the answer is "perfectly random", then that means each digit in pi should have a perfectly random parity. If the answer is not "perfectly random" then that means you should be able to predict the parity of the next digit based on the parity of previous digits with probability >50% in the long run, which I don't think holds true for pi (I could be wrong).
- throwawaymath 8y agoThat's an interesting point I hadn't really thought about. The set of all even naturals is isomorphic to the set of all odd naturals, so technically speaking you'd be right. If every number appears with equal likelihood in a sequence, you'd have evens and odds appearing with equal likelihood.
- gus_massa 8y ago> how random is the parity distribution of digits in pi? If the answer is "perfectly random" Nobody knows! Everyone in math is sure that it is, but nobody had found a proof yet. (It may be false...) An extension to this question is if pi is a "normal number". More details: https://en.wikipedia.org/wiki/Normal_number https://en.wikipedia.org/wiki/Normal_number http://mathworld.wolfram.com/NormalNumber.html http://mathworld.wolfram.com/NormalNumber.html