# DailyDirt: Pi Math

### from the *urls-we-dig-up* dept

National Pie Day is not actually March 14th (although it really should be, if only to make it more memorable). But here's to the number, not the delicious dessert.
- Does pi contain every set of finite number sequences? The answer to that question may not be known, but the first trillion or so digits of pi appear to be statistically random -- with 0-9 appearing with even distributed frequency. [url]
- It's possible to calculate the nth digit of pi without calculating every previous digit. So the gazillionth digit of pi can be verified, if you really need to know it. [url]
- If you're thinking about coming up with a new way to calculate pi, you can check your work for the first several trillion digits. Beyond about 10 trillion digits, you're into record breaking territory, and you'll need to adopt some other strategies. [url]

Filed Under: calculations, irrational, math, numbers, pi

## Reader Comments

Subscribe: RSS

View by: Time | Thread

Anonymous Coward,15 Feb 2013 @ 5:18amso make your start number 1000 numbers in length, and you can expect on average 100 1's 2's .. 0's to occur approx. 100 times each.

Yes, it is still possible to roll your 0-9 dice 1000 times and never get a 1, but probably not.

out of those 100 1's or 2's or 3's you get from your list of 1000 numbers you have a 10% chance that the following number will be 0 to 9. so with 100 occurrences of any 1 number you have 100 x 10% chance of getting and complete 2 digit sequence.

so therefore sooner or later in a very long sequence of randomly distributed numbers you will get any one specific sequence. What is necessary is your initial number length is enough.

what is surprising to me is how SMALL a string of randomly distributed numbers are to achieve an extremely high to 100% probability of a sequence to occur.

like what are the odd's of rolling your 10 dice and getting 9 '8s' in a row !!!.

But it occurs in pi at around 50 million decimal places !!

you get 0 to 9 dice and roll them 50 million times and you might roll 8 '0s' too.

everything does and will occur if you do it long enough.

## Add Your Comment