Sieve of Multiple Content and Subtle Effects of ((a/b)×(b/a)=1 )
倍数含量筛法与恒等式((a/b)×(b/a)=1 )的妙用

思顺 鲁
2017 Pure Mathematics  
We introduce the notions of multiple content and parallel arithmetic series. Based on the overlap law of multiple contents and properties of parallel arithmetic progressions, we discuss the appearance rule of multiples in the series of natural numbers. As applications, we prove the even number Goldbach's conjecture and the twin prime conjecture. Keywords Multiple Content, Overlap Law, Covering Theorem, Parallel Arithmetic Series, Sieve of Both Sides 倍数含量筛法与恒等式( a b b a 1 × = )的妙用 鲁思顺 临沂大学,山东 临沂
more » ... )的妙用 鲁思顺 临沂大学,山东 临沂 收稿日期:2017年6月23日;录用日期:2017年7月7日;发布日期:2017年7月13日 摘 要 本文挖掘出倍数含量及等差项同数列的概念,根据倍数含量重叠规律及等差项同数列的性质,对自然数 列中倍数出现规律作了深入的探讨。作为应用,我们证明了偶数哥德巴赫猜想与孪生素数猜想。 文章引用: 鲁思顺. 倍数含量筛法与恒等式()的妙用[J]. 理论数学, 2017, 7(4): 288-296.
doi:10.12677/pm.2017.74038 fatcat:ta37shgry5bnvfzeeiv7i3nemu