| 关于费马大定理(Ⅰ) |
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| 引用本文： | 曹珍富.关于费马大定理(Ⅰ)[J].西南师范大学学报(自然科学版),1988(4). |
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| 作者姓名： | 曹珍富 |
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| 作者单位： | 哈尔滨工业大学 |
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| 摘 要： | 这篇文章主要证明了以下结果:1.设p是奇素数,r是充分大的正整数,则方程x~(?)+y~(?)=z~2,(x,y)=1,无整数解.2.如果方程x~(2p)+y~(2p)=z~2((x,y)=1,p(>3)是素数)有整数解,则必有4p|x或4p|y.
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| 关 键 词： | 费马大定理 |
ON FERMAT'S LAST THEOREM (I) |
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| CUO ZHUNFU.ON FERMAT''''S LAST THEOREM (I)[J].Journal of Southwest China Normal University(Natural Science),1988(4). |
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| Authors: | CUO ZHUNFU |
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| Institution: | Harbin Inst of Tech |
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| Abstract: | In this paper, the following main results are obtained.1. If p is an odd prime, r sufficiently great, then the equation .xpr +ypr=z2, (x, y) = l has no integer solution; and2. If the equation x2p+y2p=z2, (x,y) =1 and a prime P>3, has integer solution, then 4p|x or 4p|y. |
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| Keywords: | Fermat's last theorem |
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