  In response to the Numberphile video regarding the Mondrian Puzzle
https://www.youtube.com/watch?v=49KvZrioFB0, we provide a lower bound on how
many integers less than a given threshold $x$ satisfy $M(n) \neq 0$ where
$M(n)$ is the quantity in which the Mondrian Puzzle is interested, i.e. the
minimal difference in area between the largest and smallest rectangle in a set
of incongruent, integer-sided rectangles which tile an $n$ by $n$ square.

Number Theory