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Are the digits in Pi evenly distributed?

weflyhigh

weflyhigh

Senior member
Like, from what math people have calculated so far, is there an even distribution between 1, 2, 3, 4, 5, 6, 7, 8, 9, & 0?
No? What is the breakdown/approximate?

Just curious...
oh, and Happy (early) Pi Day!
 
Originally posted by: totalcommand
Originally posted by: weflyhigh
Like, from what math people have calculated so far, is there an even distribution between 1, 2, 3, 4, 5, 6, 7, 8, 9, & 0?
No? What is the breakdown/approximate?

Just curious...
oh, and Happy (early) Pi Day!
Click to expand...

google search: "pi even digit distribution"

result number: 1

link: http://mathworld.wolfram.com/PiDigits.html

have fun! use search next time!
Click to expand...

I tried "pi evenly distributed" into Yahoo search with no easy-to-find luck, but thanks for the link

According to the link, the numbers are evenly distributed

Now, couldn't you use the next digit in pi's sequence as a random number generator for numbers 0-9? Wouldn't this be better than using system clock or whatever else?
 
Did a quick SAS analysis with 16k digits, came up with the following:

Digit/ Frequency/ Percent

0 1602 9.78
1 1652 10.08
2 1624 9.91
3 1650 10.07
4 1695 10.35
5 1697 10.36
6 1651 10.08
7 1590 9.70
8 1573 9.60
9 1650 10.07
 
Originally posted by: weflyhigh
I tried "pi evenly distributed" into Yahoo search with no easy-to-find luck, but thanks for the link

According to the link, the numbers are evenly distributed

Now, couldn't you use the next digit in pi's sequence as a random number generator for numbers 0-9? Wouldn't this be better than using system clock or whatever else?
Click to expand...
it may not be efficient but it would work. but for 0-9 i doubt youd see any difference between digits of pi and the number generated any other way.
 
Originally posted by: marketsons1985
Did a quick SAS analysis with 16k digits, came up with the following:

Digit/ Frequency/ Percent

0 1602 9.78
1 1652 10.08
2 1624 9.91
3 1650 10.07
4 1695 10.35
5 1697 10.36
6 1651 10.08
7 1590 9.70
8 1573 9.60
9 1650 10.07
Click to expand...

I know what the answer is, but a quick linear regression should show a slope not significantly different from zero. I could do so from your numbers but im lazy.

edit: great work, btw.
 
It's a non-terminating, non-repeating decimal. Either there's no possible way to calculate the distribution or it so infinitely close to zero no one but a mathematician should be bothered with the answer
 
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