PL-OM 2015 Problem 6

Prove that for each positive integer $a$ there exists such an integer $b>a$ , for which $1+2^a+3^a$ divides $1+2^b+3^b$ .

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.