RU-ALLRUSSIAN 1989 Problem 13
Do there exist two reals whose sum is rational, but the sum of their nth powers is irrational for all ? Do there exist two reals whose sum is irrational, but the sum of whose nth powers is rational for all ?
Dataset text NuminaMath olympiads. 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.