VTRMC 1979 Problem 5

Show, for all positive integers $n = 1,2 , \dots ,$ that $14$ divides $3 ^ { 4 n + 2 } + 5 ^ { 2 n + 1 }$ .

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.