CMO 1998 Problem 4

Find all natural numbers $n>3$ , such that $2^{2000}$ is divisible by $1+C^1_n+C^2_n+C^3_n$ .

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.