The Beal conjecture is the following conjecture in number theory: If A x + B y = C z {\displaystyle A^{x}+B^{y}=C^{z}} , 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. Equivalently, The equation A x + B y = C z {\displaystyle A^{x}+B^{y}=C^{z}} has no solutions in positive integers and pairwise coprime integers A, B, C if x, y, z > 2.
The Beal conjecture is the following conjecture in number theory: If A x + B y = C z {\displaystyle A^{x}+B^{y}=C^{z}} , 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. Equivalently, The equation A x + B y = C z {\displaystyle A^{x}+B^{y}=C^{z}} has no solutions in positive integers and pairwise coprime integers A, B, C if x, y, z > 2.
Source: Wikipedia "Beal conjecture" · CC BY-SA 4.0
Share this article: X · Bluesky