| 摘要: |
| 主要运用pell方程、递推序列、同余式及（非）平方剩余等一些初等方法,证明了不定方程x(x+1)(x+2)(x+3)=21y(y+1)(y+2)(y+3)和x(x+1)(x+2)(x+3)=23y(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 Indefinite Equationx(x+1)(x+2)(x+3)=Dy(y+1)(y+2)(y+3)(D=21,23) |
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ZHANG Hong, LUO Ming
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| Abstract: |
| With the elementary method of Pell equations, recurrence sequence, congruent form and quadratic residue, it is shown that the indefinite equation x(x+1)(x+2)(x+3)=21y(y+1)(y+2)(y+3) and x(x+1)(x+2)(x+3)=23y(y+1)·(y+2)(y+3) has no positive solution. |
| Key words: indefinite equation integer solution recurrence sequence |
