Prouhet–Tarry–Escott problem

The Prouhet–Tarry–Escott problem is a classic problem in number theory and combinatorial mathematics. It is named after three mathematicians: Pierre Prouhet, Édouard Tarry, and John Escott. The problem can be stated as follows: Given a set of integers, the goal is to find a way to partition these integers into two groups such that the sums of the integers in each group are equal.