Are there many simple math solutions left?

[Loren Booda]

What recent mathematical problems (compared to those from previous centuries) have been uncomplicated to state yet elegant to solve?

Is there a large number of such problems, or fields, unexplored?

Is mathematics becoming more arcane rather than purer?

 

[TylerH]

2: Number theory is a good place for uncomplicated-to-state problems eg, diophantine equations and Collatz conjecture; but most of the unsolved ones, I presume, are unsolved because there is no elegant proof.

3: It seems to me that current research focuses on properties of special cases of abstractions. For example, instead of advancing the general concept of group theory, you would research the properties of a special case of a group, like finite groups with special 2-generator property. (I'm not pretentious enough to act like I know what that means; it's just an example.)

 

[amezcua]

I have solved a problem involving musical keys .I have just realized it is a Mathematical solution. There are no numbers involved though. Who should I tell? Where do I go to be famous.