Prouhet-Tarry-Escott problem

proper noun

The problem of finding two disjoint sets A and B of n integers each, such that ∑_(a∈A)aⁱ=∑_(b∈B)bⁱ for each integer i from 1 to a given k.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

proper noun
  1. mathematicsThe problem of finding two disjoint sets A and B of n integers each, such that ∑_(a∈A)aⁱ=∑_(b∈B)bⁱ 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.

Full word history & related roots →
Cite this entry
APA

Prouhet-Tarry-Escott problem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Prouhet-Tarry-Escott%20problem

MLA

“Prouhet-Tarry-Escott problem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Prouhet-Tarry-Escott%20problem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Prouhet-Tarry-Escott problem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Prouhet-Tarry-Escott%20problem.

Source: Prouhet-Tarry-Escott problem on Wiktionary, CC BY-SA 4.0.