Beal conjecture

proper noun

A conjecture stating that, if Aˣ+Bʸ=Cᶻ, where A, B, C, x, y, and z are positive integers with x, y, z > 2, then A, B, and C have a common prime factor.

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Meanings

proper nounthe Beal conjecture

alternative Beal's conjecture

  1. mathematicsA conjecture stating that, if Aˣ+Bʸ=Cᶻ, where A, B, C, x, y, and z are positive integers with x, y, z > 2, then A, B, and C have a common prime factor.

Origin

Formulated in 1993 by Andrew Beal.

Full word history & related roots →
Cite this entry
APA

Beal conjecture. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Beal%20conjecture

MLA

“Beal conjecture.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Beal%20conjecture. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Beal conjecture,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Beal%20conjecture.

Source: Beal conjecture on Wiktionary, CC BY-SA 4.0.