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费马大定理的初等证明 被引量:3

The elementary proof of Fermat's last theorem
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摘要 在Fermat证明R=4w(w∈N+,w≥1)的基础上,建立三数组集合与正整数对集合间的对应,将勾股数组推算公式和费马大定理联系起来,运用同余性质,得出假定解的特定形式,进一步类比引入特定的不定方程组,用归谬法完成了费马大定理的证明. Based on the proof ofR=4ω(ω∈N+,ω≥1) proved by Fermat, the mapping ot the triad aggregate set and positive whole number pair set is built. The array of legs of a triangle calculated formula and Fermat's last theorem is connected. The special form of assumption solution is obtained by using the con- gruence property. A special indeterminate system of equations is introduced by further analogy, The proof of Fermat's last Theorem is completed by reduction to absurdity.
作者 李宏棋
出处 《西安工程大学学报》 CAS 2008年第5期650-662,共13页 Journal of Xi’an Polytechnic University
关键词 费马大定理 勾股数组公式 同余 Fermat's Last Theorems formula of the array of legs of triangle congruence
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参考文献5

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同被引文献50

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  • 3张元标.基于一次不定方程的数字图像加密技术[J].成都理工大学学报(自然科学版),2006,33(6):645-648. 被引量:3
  • 4蔡纪昭.关于费尔马大定理和毕尔猜想的证明[J].安顺学院学报,2007,9(1):78-80. 被引量:1
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