OFM 2022 S4

find all positive integer $a\geq 2$ and $b\geq2$ such that $a$ is even and all the digits of $a^b+1$ are equals.

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.