OBM 1995 Problem 2

Find all real-valued functions on the positive integers such that $f(x + 1019) = f(x)$ for all $x$ , and $f(xy) = f(x) f(y)$ for all $x,y$ .

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.