| 摘要: |
| 主要运用Pell方程、递归数列、同余式及平方（非）剩余等一些初等方法，证明了不定方程x(x+1)(x+2)(x+3)=30y(y+1)(y+2)(y+3)无正整数解. |
| 关键词: 不定方程 整数解 递归数列 |
| DOI： |
| 分类号: |
| 基金项目: |
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| On the Diophantine Equationx(x+1)(x+2)(x+3)=30y(y+1)(y+2)(y+3) |
|
WANG Cong
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| Abstract: |
| In this paper, with the method of pell equation, recurrence sequences, congruence and square non residual and so on, we have shown that the Diophantine equation x(x+1)(x+2)(x+3)=30y(y+1)(y+2)(y+3) has no positive integer solution. |
| Key words: Diophantine equation integer solution recurrence sequence |
