关于不定方程X^3-64=31y^2 |
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引用本文: | 牛芳芳,罗明.关于不定方程X^3-64=31y^2[J].渝西学院学报(自然科学版),2012(2):32-34. |
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作者姓名: | 牛芳芳 罗明 |
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作者单位: | 西南大学数学与统计学院,重庆北碚400715 |
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摘 要: | 利用同余式,递归数列的方法,证明了不定方程x63-64=31y^2仅有整数解(4,0),(20,±16),(7,±3).
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关 键 词: | 不定方程 整数解 递归数列 同余式 |
On the Diophantine equation x^3 - 64 = 31y^2 |
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Authors: | NIU Fang- fang LUO Ming |
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Institution: | ( School of Mathematics and Statistics, Southwest University, Beibei Chongqing 400715, China) |
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Abstract: | By using the method of congruence and recurrent sequences, this paper proves that the Diophan- fine equation x3 -64 = 31y2 have only integer solutions (4,0), (20,± 16), (7,± 3) . |
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Keywords: | Diophantine equation integer solution recurrent sequence congruence equation |
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