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.

**References**

Dickson, L. E. *History of the Theory of Numbers, Vol. 2: Diophantine Analysis.* New York: Chelsea, pp. 709-710, 1971.

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

© 1996-9

1999-05-26