> For the complete documentation index, see [llms.txt](https://erhany96.gitbook.io/collatz-prefixes/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://erhany96.gitbook.io/collatz-prefixes/collatz-prefixes.md).

# Collatz Prefixes

A pattern among hailstone numbers, i.e. the sequences within the Collatz conjecture.

## To-do's

* Efficient calculation of $$\beta(1, p)$$ is an open question
* Linking left-child to parent-child in PIPTree is an open question
* Prefix can work for even numbers too, but we specifically use odd numbers; need to mention this in the respective section
* Iterative method pseudo-algorithm can be written better
* Code snippets for many languages could be added