Prouhet-Tarry-Escott Problem Definition

The problem of finding two disjoint sets A and B of n integers each, such that \sum_{a\in A} a^i = \sum_{b\in B} b^i for each integer i from 1 to a given k.


Origin of Prouhet-Tarry-Escott Problem

  • Named after Eugène Prouhet, who studied it in the early 1850s, and Gaston Tarry and Escott, who studied it in the early 1910s.

    From Wiktionary

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