摘要
在哥德巴赫猜想等价命题的基础之上,经过命题强化,构造了一个缺项双无解定理。该缺项双无解定理是说,一对缺少一项减数项相同的同余方程式的方程组同时无正整数解。运用数学归纳法证明了这两个同步的同余式方程组无正整数解.通过对两个同步的缺项同余式方程组是否有解的分析判定,运用数学归纳法成功证明了哥德巴赫猜想。
Based on Goldbach conjecture equivalent proposition, a missing item double non - solution theorem was built through the proposition reinforcement. According to this theorem, the pair of congruence equations which is lack of a meiotic entry has no positiye integer solution. It is proved with mathematical induction method that the two synchronous congruence equations have no positive integer solution. Through the analysis that whether there exists solutions about the two synchronous congruence equations, the Goldbach conjecture can be proved with mathematical induction.
出处
《辽东学院学报(自然科学版)》
CAS
2015年第2期143-149,共7页
Journal of Eastern Liaoning University:Natural Science Edition
关键词
哥德巴赫猜想
等价命题
缺项双无解定理
数学归纳法
同余式方程组
正整数解
Goldbach conjecture
equivalent proposition
missing item double non - solution theorem
mathematical induction
congruence equation set
positive integer solution.