## Irrationality Proof

Prove that $$\log_{2}(10)$$ is irrational.

## Which is larger?

Which is larger, $$e^{\pi}$$ or $$\pi^{e}$$ ?

## A Timely Square

In the array of numbers below, the coordinates of the number $$1$$ are $$(0,0)$$, the coordinates of the number $$19$$ are $$(-2,0)$$ and the …

## A Timely Cube

What is the smallest possible value of the positive integer $$n$$ such that $$2016n$$ is a perfect cube?