MathDB
Element sum of k others

Source: ISL 2022 A2

July 9, 2023
algebraIMO ShortlistAZE IMO TST

Problem Statement

Let k≥2k\ge2 be an integer. Find the smallest integer n≥k+1n \ge k+1 with the property that there exists a set of nn distinct real numbers such that each of its elements can be written as a sum of kk other distinct elements of the set.
Back to ProblemsView on AoPS