If $x$, $y$, and $z$ are three positive integers such that
$$ x^n + y^n = z^n $$
and the exponent $n$ is also a positive integer, then $n \leq 2$.
Issue 1
Issue 2
Suppose a certain lover of donuts (we will call him Homer), wants to put coloured icing on his donuts. Homer insists that each region of the donut is coloured in such a way that two regions that are next to each other have different colours.
Issue 3
So, you’re a high school student with mathematical talent, and you face a decision on whether to develop it at university, or aim for a career like medicine or law that won’t use it.