CAPS 2008 Problem 4

Prove that there exists a positive integer $n$ , such that the number $k^2+k+n$ does not have a prime divisor less than $2008$ for any integer $k$ .

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.