## Tarry-Escott Problem

For each Positive Integer , there exists a Positive Integer and a Partition of , ..., as a disjoint union of two sets and , such that for ,

The results extended to three or more sets of Integers are called Prouhet's Problem.

Hahn, L. The Tarry-Escott Problem.'' Problem 10284. Amer. Math. Monthly 102, 843-844, 1995.