But computer doesn’t have endless memory for pi

[di-sukharev]

Computer memory can’t hold the whole pi, so It happened to be I saved my dog photo exactly after my computer memory ends, how do I get it back???

Actually I’m really interested in how can I store “any” file if computer memory is not endless and in such case I may not find suitable sequence of numbers?

[MaxwellWibert]

Really easy solution for this one. Just store the digits of pi in pifs. I believe the index is 0.

[onioneffect]

You don't need to calculate all of the digits of Pi. You can calculate one at a time.

The BBP formula gives rise to a spigot algorithm for computing the nth base-16 (hexadecimal) digit of π [...] without computing the preceding digits.

This algorithm computes π without requiring custom data types having thousands or even millions of digits. The method calculates the nth digit without calculating the first n − 1 digits and can use small, efficient data types. (source)

The program still can't run forever, tough, because of complicated math reasons (1) (2) (3)