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.
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