Interesting things

My Solution to the Collatz Conjecture

UPDATE: (August 2021) While I have yet to see any errors in the proposed solution below, it is admittedly incomplete, as it glosses over the final supposition involving the impossibility of loops. An attempt to rectify this missing piece is forthcoming.


As promised, here’s my attempted solution to the Collatz Conjecture. My solution is pretty simple, so if you understand the conjecture, you should understand the proof. (I’m not a pro mathematician anyway, just an amateur hobbyist.) I’m eager to get feedback, especially if I somehow missed something subtle (or worse, something really stupid).

PDF of my proof: click here.

If you prefer to watch a video instead, I’ve uploaded myself explaining my solution here:

Here’s to hoping my proof is confirmed!

By S P Hannifin, ago
Interesting things

The Collatz Conjecture

I’ve been tinkering with the Collatz Conjecture on and off for a couple years; it’s madly addicting, patterns within patterns within patterns, and yet strange and puzzling disorder seems to lurk around every corner.

I have an attempted proof which I’ll type up and post hopefully this week along with a video, unless I find some glaring mistake while doing so. And then I can get back to programming.

By S P Hannifin, ago