Last Updated
：2025/11/30
Beal's conjecture
Proper noun
Japanese Meaning
Bealの予想（またはBealの公準）: 正の整数 A, B, C, x, y, z（ただし x, y, z > 2）があり、もし A^x + B^y = C^z が成り立つならば、A, B, C は共通の素因数を持つという数学の予想
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(mathematics) 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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Beal's conjecture
Beal's conjecture has driven many mathematicians to search for either a proof or a counterexample to the equation Ax + By = Cz under the condition that x, y, and z are greater than 2.
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Beal's conjecture has driven many mathematicians to search for either a proof or a counterexample to the equation Ax + By = Cz under the condition that x, y, and z are greater than 2.
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