CAPS 1999 Problem 6

Prove that for any integer $n \ge 3$ , the least common multiple of the numbers $1,2, ... ,n$ is greater than $2^{n-1}$ .

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.