Comment Re:Seriously (Score 1) 167
I can think of a billion variations on this "conjecture". None of them really matter.
Sometimes the value of these things isn't in proving it, but in developing a method of proving it.
What I mean by that is, it's not like this is a burning question that we need a proof for, because we need to be absolutely certain that this will prove true in all circumstances. However, the development of a proof may include some novel idea, or an invention of a new mathematical concept.
If someone can figure out a way to prove this conjecture, they may then be able to figure out a more generalized proof that applies to your "billions of variations". If someone can do that, then we may have some new form of math.
Basically, this is how math is developed. Someone could have said, "Meh, the circumference of a circle is about 3 times the diameter." Or "If we need to know the area inside a curve, we can just estimate by measuring out squares and triangles that mostly fill up the space." And then we wouldn't have a lot of our science and technology.