Beal'
s Conjecture is
a statement in
number theory proposed by
Andrew Beal in 1993. It asserts that if \(
A^
x +
B^
y =
C^
z \) holds true for
positive integers \(
A,
B,
C,
x,
y, \) and \(
z \) with \(
x,
y,
z >
2 \), then \(
A,
B, \) and \(
C \) must share
a common
prime factor.
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