The distribution of the digits of pi is believed to be random from "summary" of A History of [pi] (pi) by Petr Beckmann
According to the mathematical principle of uniform distribution, each digit from 0 to 9 should appear in the decimal representation of pi about 10 percent of the time. Given the infinite and non-repeating nature of pi, this would imply that over a large enough sample, each digit should occur roughly the same number of times. In simpler terms, the digits of pi should be distributed randomly throughout its decimal expansion. If the distribution of the digits of pi were not random, certain patterns or repetitions would emerge, which would contradict the fundamental definition of irrational numbers. The randomness of pi's digits is a key characteristic that has fascinated mathematicians for centuries, as it reflects th...
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