| 关于丢番图方程x(x+1)(x+2)=2py~2 |
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| 引用本文： | 崔保军. 关于丢番图方程x(x+1)(x+2)=2py~2[J]. 高师理科学刊, 2010, 30(2): 35-37. DOI: 10.3969/j.issn.1007-9831.2010.02.010 |
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| 作者姓名： | 崔保军 |
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| 作者单位： | 甘肃民族师范学院,数学系,甘肃,合作,747000 |
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| 摘 要： | 设p是奇素数,给出了方程x(x+1)(x+2)=2py2当p17时的所有正整数解,并且讨论了当x为偶数时方程解的情况.
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| 关 键 词： | 丢番图方程 Erds猜想 正整数解 |
On the Diophantine equation x(x+1)(x+2)=2py2 |
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| CUI Bao-jun. On the Diophantine equation x(x+1)(x+2)=2py2[J]. Journal of Science of Teachers＇College and University, 2010, 30(2): 35-37. DOI: 10.3969/j.issn.1007-9831.2010.02.010 |
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| Authors: | CUI Bao-jun |
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| Affiliation: | Department of Mathematics;Gansui Normal University for Nationalities;Hezuo 747000;China |
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| Abstract: | Gave all positive integer solution of the Diophantine equation x ( x+ 1)(x+2)=2py2 when p is odd prime and p <17,and discussed the integer solution of the Diophantine equation x (x+1)(x+2)=2py2with xeven. |
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| Keywords: | Diophantine equation Erdos＇s conjecture positive integer solution |
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