2007-03-16 04:31:38 · 8 answers · asked by Ender Wiggin 1 in Science & Mathematics ➔ Mathematics
probability of such sequence occuring in a random string of digits, which PI is supposed to be, is 1 / 10^1000000.
so, if you wete to take the first 10^1000000 digits of pi, you'd have a good chance of seeing such sequence.
In comparision, there's ~ 10^80 atoms in the universe
2007-03-16 04:39:51 · answer #1 · answered by iluxa 5 · 1⤊ 1⤋
The quick answer is: noone knows.
Pi has been proven to be irrational. That simply means that the digits go on forever, and they will never start repeating. That does not mean that there are not periods of repetition. For instance, pi very quickly has a sequence of 6 nines.
You might be thinking that this would mean that all sequences show up somewhere in pi. This is not (necessarily) the case. Keep in mind that all we know is that pi is irrational. Nothing stop pi from, let's say, suddenly stop bringing fives. If pi can go on infintely without repeating with 10 digits, then it can do it just as well with 9.
Now you might be thinking: yeah, but that just does not feel right. And quite a few mathematicians would agree with you. About the feeling in any case. But we just do not know for sure, and I wonder if we will ever know.
2007-03-16 12:23:26 · answer #2 · answered by Michael M 2 · 0⤊ 0⤋
Yeah, what Iluxa said. Pi has not been PROVEN to be normal, meaning the digits are purely random, but it probably is. In the first 10^1000000 digits, there is about a (1 - 1/e) chance, about 63%, that you will find a string of a million consecutive 1s.
2007-03-16 11:47:07 · answer #3 · answered by Anonymous · 1⤊ 0⤋
As the number of digits is infinite, so is the number of strings of length 1 million. So if pi is normal (meaning every digit is equally probable to appear at any arbitrary place) then the number of trials being infinite of events that are equally probable the chance of it happening it at all is 100%. So if pi is normal (and it most probably is) then there is such a string somewhere for sure.
2007-03-16 12:34:48 · answer #4 · answered by Anonymous · 1⤊ 0⤋
Sure, at some point. Just don't keep your fingers crossed on it ever being counted out that far.
2007-03-16 11:34:42 · answer #5 · answered by JK 2 · 1⤊ 0⤋
There is no pattern to pi. It is trillions of numbers long and has no found pattern.
2007-03-16 11:34:23 · answer #6 · answered by Anonymous · 0⤊ 2⤋
no , not found to date
2007-03-16 11:34:11 · answer #7 · answered by Maverick 7 · 0⤊ 1⤋
i think that would qualify as a pattern so, no
2007-03-16 11:35:30 · answer #8 · answered by discostu 5 · 0⤊ 2⤋