MathDB

1

Part of 2002 Brazil National Olympiad

Problems(1)

The sum is never a perfect power

Source: Brazilian Math Olympiad, 2002

11/15/2005
Show that there is a set of 20022002 distinct positive integers such that the sum of one or more elements of the set is never a square, cube, or higher power.
number theoryPerfect Squaresperfect cubePerfect PowersSubsetSum