OMCC 2003 Problem 3

Let $a$ and $b$ be positive integers with $a>1$ and $b>2$ . Prove that $a^b+1\ge b(a+1)$ and determine when there is inequality.

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.