>>13102041Take an algorithm that accepts positive integers and then feeds the result back into the same algorithm.
If the number is even, divide it by two.
If the number is odd, multiply it by three and add one.
Then take the resulting number and apply the same algorithm to it.
For example, if I start with 5, go 5->16->8->4->2->1->4->2->1->4->2->1 etc.
Or if I start with 12, go 12->6->3->10->5->16->8->4->2->1->4->2->1->4->2->1 etc.
Will starting with any positive integer result in getting down to the same loop of 4->2->1->4->2->1?
Provide proof of your answer.
(jk that's the Collatz conjecture, unsolved for half a century so far)
>>13102849It's PoC-gons now.
