… 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
Nope, not necessarily.
Imagine a sequence which starts with a 1, then a zero, then a one again. Then *two* zeros and a one. Then *three* zeros and then a one. Then *four* zeros and a one. You can keep going like this forever, and the sequence will never start over and repeat itself. Of course individual sub-sequences will occur many times (we’ll see a lot of 000000 strings, for example), but the full sequence will never start repeating itself.
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