What is a “normal number” and why can’t we prove or disprove π is one?

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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?

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Anonymous 0 Comments

A normal number is comprised of the same amount of all the digits. So like the decimal representation of ⅓ isn’t normal because it’s just comprised of 3. What they are saying is if they consider the digits of pi to have a uniform distribution of all digits 0-9, then something follows from that.

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