RMO 2018 Problem 5

Find all natural numbers $n$ such that $1+[\sqrt{2n}]~$ divides $2n$ .

( For any real number $x$ , $[x]$ denotes the largest integer not exceeding $x$ . )

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.