RO-NMO 2003 Problem 91

Find positive integers $a,b$ if for every $x,y\in[a,b]$ , $\frac1x+\frac1y\in[a,b]$ .

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.