IR-MO 2003 Problem 9

Does there exist an infinite set $S$ such that for every $a, b \in S$ we have $a^2 + b^2 - ab \mid (ab)^2$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.