**What are best examples of questions in mathematics that are not interesting until one knows the answers, whose answers themselves are what is interesting?**

The thing that prompts me to post this is just one example. I've seen others, but they escape me at the moment. Here it is:

A torus is embedded in just the usual way in $\mathbb R^3$. It has parallels of latitude and meridians of longitude. A curve that meets every parallel of latitude at the same angle, or, equivalently, meets every meridian of longitude at the same angle, is a **loxodrome**. Suppose that angle is so chosen, given the shape of the particular torus, that the loxodrome goes through all $360^\circ$ of longitude in just the length it takes to go through all $360^\circ$ of latitude, returning there to its starting point. (There must be some conventional terminology for describing these windings, but I don't know it.) **The question is: What are the curvature and torsion at the various points along this curve?** Doubtless some will consider this question interesting, but to me, and, I suspect, to many, the answer, because it is so unexpected, is where this starts to get interesting. The answer is that the curvature is constant --- the same at all points on the curve --- and the torsion is everywhere $0$. (And it's really easy to deduce from that the precise value of the curvature.) I believe this was discovered in the 1890s and is stronger than the celebrated theorem of Villarceau, published in 1848. Villarceau's theorem says that a plane bitangent to a torus intersects the torus in two circles. This proposition does not assume as a hypothesis, but rather has as a (trivial corollary of its) conclusion, that the curve lies in a plane.

howit is that uninteresting questions have interesting answers (see Timothy Chow's answer, for instance), but in its current form I don't see the point of it and it is attracting a lot of dubious answers. Pietro Majer's comment is also illustrative of the arbitrariness of this question. $\endgroup$ – Eric Wofsey Mar 25 '15 at 23:28