Prime Numbers

Here's the way of reformulating Collatz chains that I have been using. This gives us a way to express the conditions for 1) the existenc...

I think I've spotted the flaw in this, but will leave it up below for now. To explain very briefly, I find two different ways to appr...

An attempt at a geometrical proof  that the proportion of level n Collatz numbers in a very large region tends to 1 in 2(3^n)/3 of the ou...

We can make several probabilistic observations from this method. And also there are a few things that we can note about the way the pat...

Here is a restatement of the Collatz conjecture expressed in binary numbers. It is a compression and extension of recent posts on this ...