Proper noun
the Beal conjecture
(mathematics) A conjecture stating that, 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.