… then don’t they inevitably repeat after all?
For example, the digit ‘3’ repeats a lot, of course.
The digits ’31’ also repeat.
Then the digits ‘314’ do as well.
And so on… 3141, 31415, 314159, etc etc.
According to [the Pi-Search page](https://www.angio.net/pi/):
>The string 31415926 occurs at position 50366472. This string occurs 3 times in the first 200M digits of Pi.
counting from the first digit after the decimal point. The 3. is not counted.
So, if it truly does continue forever, isn’t it likely that every set of digits must repeat at some point, no matter how long the string may be?
If not, please explain why.
In: 0
look at the much much more simple string that consists of:
1
01
001
0001
00001
…..
now if instead of writing these each in their own line, you’d write them one after the other, you’d have an infinite decimal number that never repeats and that only has 0 and 1 in it.
there is an actual proof that Pi cannot be described by two integers a and b where a/b = Pi, but that is far from ELI5, but in order for the decimals in Pi to repeat themselves after a certain point (or even ending), this would be a requirement.
Latest Answers