> Which doesn't make a whole bunch of sense either, and it's
> only a conjecture and I imagine a false one.
Jon, please be aware that the word "conjecture" has a very specific meaning in mathematics and that your usage of it in its colloquial sense not only confuses a lot of people, it makes you look as if you've no idea what you are talking about.
In mathematics, "conjecture" means something like: I'm virtually certain this statement is true, I've investigated it deeply with the methods available to me and have found absolutely no evidence that it is false, the only problem is that I can't find a cast-iron proof that is true.
Your statement "only a conjecture and I image a false one" indicates that your original statement is *not* a conjecture in the mathematical sense. If you described it as a "hunch" or a "guess" or "perhaps something to investigate further" you would gain a great deal more respect for not only would you avoid misleading people, you would not appear to be such an incompetent mathematician when trivial counter-examples are produced.