ZA-SAMO 2001 Problem 3

For a certain real number $x$ , the differences between $x^{1919}$ , $x^{1960}$ and $x^{2001}$ are all integers. Prove that $x$ is an integer.

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.