摘要
采用同余数数表法,证明了命题2,2a(a≥5)以内的所有奇素数,不可能以(2a)~(1/2)内的奇素数为模进行同模同余表示。命题2是哥德巴赫猜想的等价命题。通过对命题2的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。
By using the congruence number table method,in this paper, the author proves [proposition 2] --all odd prime within 2a(a≥5), may not be represented by odd prime within √2a, which ensures the same model and congruence. [Proposition 2] is the equivalent proposition to Goldbach Conjecture. By analyzing whether exists solution about the [proposition 2] congruence equations, the author successfully proves Goldbach conjectureby u- sing of mathematical induction.
出处
《长春工程学院学报(自然科学版)》
2012年第2期121-125,共5页
Journal of Changchun Institute of Technology:Natural Sciences Edition
关键词
哥德巴赫猜想
等价命题
数表法
同余式方程组
同余数表
Goldbach Conjecture
equivalent propositions
umber table method
congruence equations
congruence remainder table