Prouhet-Tarry-Escott problem

Meaning

Proper Noun

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

Origin

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