| 与Fermat大定理有关联的代数等式 |
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| 引用本文： | 聂钦汉,唐敏,周察金.与Fermat大定理有关联的代数等式[J].西南民族学院学报(自然科学版),2010(Z1):82-83. |
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| 作者姓名： | 聂钦汉 唐敏 周察金 |
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| 作者单位： | 西南民族大学计算机科学与技术学院;西南民族大学预科教育学院; |
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| 摘 要： | 从直角三角形三边的关系式c2=a2+b2与公式:1=a2+b2=(a2+b2)2=(a2-b2)2+(2ab)2再由熟知的52=32+42展开讨论,发现并证明了引理1、引理2、引理3中的特性,这是本文的成果之一.把这些特性与Fermat大定理联系起来,虽还未证明Fermat大定理,但得出了定理1、定理2中与Fermat大定理有关联的代数等式,这是本文的成果之二.
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| 关 键 词： | 纯小数 乘方数 因数 奇偶性 素数 合数 |
Algebra equations related to the big pythagorean theorem Fermat |
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| NIE Qin-han,TANG Min,ZHOU Cha-jin.Algebra equations related to the big pythagorean theorem Fermat[J].Journal of Southwest Nationalities College(Natural Science Edition),2010(Z1):82-83. |
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| Authors: | NIE Qin-han TANG Min ZHOU Cha-jin |
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| Institution: | NIE Qin-han1,TANG Min1,ZHOU Cha-jin2(1.Southwest University for Nationalities,Chengdu 610041,P.R.C.,2.Chengdu Vocational and Technical College,P.R.C.) |
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| Abstract: | Based on discussion of the relation among three sides of a right triangle c2=a2+b2 and the formula 1= a2+b2 =(a2+b2) 2=(a2-b2) 2+(2ab)2 and well-known 52=32+42,this paper discovers and proves that infinite groups of pure decimals exist in the set of positive rational numbers,which possesses specific features in Lemma One,Two and Three.Those specific features are used to be connected with the big pythagorean theorem Fermat.Although Fermat hasn't been proved in this paper,algebra equations related to Fermat i... |
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| Keywords: | pure decimals involution number factor even or odd quality prime number composite number |
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