[1FreeAmerican]

Thanks for that explanation!

But I still don’t get what the issue is here.

You will always end up at 1 because of math, and it is true because it’s math.

I not sure I even understand what I just said...

[kosciusko51]

The problem is that the numbers can go up and go down.

To prove that the conjecture is not true is to find a number that as you do the sequence, the sequence return to the original number. That would be an infinite loop, as it would never go to zero, but constantly repeat the pattern. In addition, every number in this sequence would not lead to 1.

[Svartalfiar]

But I still don’t get what the issue is here.

You will always end up at 1 because of math, and it is true because it’s math.

But will you actually? That's the point - we're pretty sure that is correct, but there isn't an actual proof that proves that it's correct. Just because a bunch of big numbers follow the pattern, doesn't mean the pattern is always going to be correct. It just looks like it will be.