| 关于爱多士猜想4/n=1/x+1/y+1/z |
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| 引用本文： | 刘修生
,李邦荣.关于爱多士猜想4/n=1/x+1/y+1/z[J].湖北师范学院学报(哲学社会科学版),1995(3). |
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| 作者姓名： | 刘修生 李邦荣 |
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| 摘 要： | 文献3]指出,不定方程 4/n =1/x+1/y+1/z除了n≡1 ,121,169,289,361,529(mod840)外,对其余的所有正整数n都可解。本文给出了上述不定方程的解满足的条件,借助这一条件,得到了文献3]中没有解决的n≡1,121,169,289,361,529(mod840)中每一种情形的两大类正整数解的具体表达式。
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| 关 键 词： | 两两互异 奇素数 |
ON THE ERDOS CONJECTURE 4/n=1/x+1/y+1/z |
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| Liu Xiusheng Li Bangrong.ON THE ERDOS CONJECTURE 4/n=1/x+1/y+1/z[J].Journal of Hubei Normal University(Philosophy and Social Science),1995(3). |
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| Authors: | Liu Xiusheng Li Bangrong |
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| Institution: | Liu Xiusheng Li Bangrong(Huangshi Polytechnic College) (Hubei Normal University) |
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| Abstract: | The document 3] point out non-linear Diophantine equation 4/n=1/x+1/y+1/zcan be soluble to all other integralsn,except for ns=1,121,169,289,361,529(mod 840). This essay presents the conditions which are setisfied by .the above non-linear Diophantine equation. With these conditions,the concrete representatives of two types of integral solution,on each condition of the unsolved n=1, 121,169,289,361,529(mod 840)are achieved. |
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| Keywords: | pariwise bi-difference odd prime number |
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