There is no shortage of lore and stories about patterns or messages in the number $\pi$ (=3.1415...). To allow
you to practice with strings, this lesson will let you do a little "data mining" yourself in the first
10,000 digits of $\pi$. What can you find with your programming skills?

Special for this lesson, we've predfined a string, called

Here is something to think about. We've given you the first 10,000 digits of $\pi$ in the string

If you find anything interesting, let us know!

Special for this lesson, we've predfined a string, called

`bigpi`

, that contains the first 10,000
digits of $\pi$. You can see the digits by running the single line `print(bigpi)`

. Also try `print(string.len(bigpi)`

if you doubt the digits are there. Using the `string.sub`

function,
we can pick digits of $\pi$ out of this big string and examine them.
Here is something to think about. We've given you the first 10,000 digits of $\pi$ in the string

`bigpi`

.
It is made of the digits from 0 to 9 (10 digits). If the digits in $\pi$ are uniformly used, how
many times would you expect each digit to appear in the first 10,000 digits? The lesson
below will allow you to measure this.
If you find anything interesting, let us know!

`i`

in the string `bigpi`

.
Type your code here:

See your results here:

This code will not run! What ending limits to you need on the

`for`

loop to examine all 10,000 digits
in string `bigpi`

? Next, what will you put to the left of the `==`

sign in the `if`

statement
to extract the single digit of $\pi$ at position `i`

?

If you figure this out, how could you search for multiple digits of other "mythological numbers," like todays date, 13 (unlucky number), 5150, 23, or 666? What is your favorite or "lucky" number. Can you find it in $\pi$?