OFM 2022 J4

find the smallest integer $n\geq1$ such that the equation : $a^2+b^2+c^2-nd^2=0$ has $(0,0,0,0)$ as unique solution .

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.