Last Updated:2025/11/30
Sentence

A、B、C、x、y、z が正の整数で x、y、z > 2 の場合に A^x + B^y = C^z ならば A、B、C は共通の素因数を持つとする予想は、その方程式の証明や反例を求める多くの数学者の探究を促してきた。

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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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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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Related words

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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A、B、C、x、y、z が正の整数で x、y、z > 2 の場合に A^x + B^y = C^z ならば A、B、C は共通の素因数を持つとする予想は、その方程式の証明や反例を求める多くの数学者の探究を促してきた。

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