SE-SKOLORNAS 1964 Problem 2

Find all positive integers $m, n$ such that $n + (n+1) + (n+2) + ...+ (n+m) = 1000$ .

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.