MathDB
Set / Equal Sums

Source:

August 11, 2019
Setssums

Problem Statement

Let EE denote the set of all natural numbers nn such that 3<n<1003 < n < 100 and the set {1,2,3,,n}\{ 1, 2, 3, \ldots , n\} can be partitioned in to 33 subsets with equal sums. Find the number of elements of EE.