Re:Pi calculation world record with over 202T digits
by pilaf on Monday July 15, 2024 @09:56AM
(#40967938)
But the number 3 is there just because we decide to calculate digits in base 10. We could encode Pi in binary instead, and since it doesn't repeat it necessarily will never be a point where there will never be another 1 or a 0, right?
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Re:Pi calculation world record with over 202T digits
by bubblyworld on Monday July 15, 2024 @10:12AM
(#40968064)
That's true - you can quite easily prove that an eventually constant sequence of decimals codes for a rational number.
But it's also true that pi may not contain every _possible_ sequence of decimals, no matter what base you pick. Like the Riemann hypothesis, it seems very likely and people have checked a lot of statistics, but nobody has proven it beyond a (mathematical) shadow of doubt.
Re:Pi calculation world record with over 202T digits
by _fizz_buzz_ on Monday July 15, 2024 @03:15PM
(#40970656)
Obviously, it was just an example to illustrate what a non-periodic number could look like that doesn’t contain all possible permutations. If the number never contains the digit 3 in base 10 it will also not contain all possible permutations in all other bases.