CR-MO 2003 Problem 3

If $a>1$ and $b>2$ are positive integers, show that $a^{b}+1 \geq b(a+1)$ , and determine when equality holds.

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.