基于对称的破解“1+1”与“3N+1”猜想的新思路  

New Approach to the"1+1"and"3N+1"Conjectures Based on Symmetry

作　　者：崔岩[1] 崔朝栋[2] 申彪 Cui Yan;Cui Chaodong;Shen Biao(School of Computer Science and Engineering,North China Institute of Aerospace Engineering,Langfang 065000,China;Construction Mechanization Research Branch,China Academy of Building Research,Langfang 065000,China;Beijing Aerospace Automatic Control Institute,Beijing 100854,China)

机构地区：[1]北华航天工业学院计算机学院,河北廊坊065000 [2]中国建筑科学研究院建筑机械化研究分院,河北廊坊065000 [3]北京航天自动控制研究所,北京100854

出　　处：《北华航天工业学院学报》2024年第4期1-4,共4页Journal of North China Institute of Aerospace Engineering

摘　　要：本文所探讨的哥德巴赫猜想(“1+1”)与Collatz猜想(“3N+1”)是数论中的著名未解问题。经研究发现破解“1+1”与“3N+1”猜想有三个关键点:分解素数、构造对称、内特兰定理及其推广的应用。在此基础上本文提出六种证明方法,希望通过这些方法的探索和验证,能够为数学界带来新的启示和突破。The"1+1"and"3N+1"conjectures are well-known unsolved problems in number theory.Researches find that there are three key points to solve the"1+1"and"3N+1"conjectures:decomposition of prime numbers,construction of symmetry,Nettland's theorem and its application.Based on this hypothesis,this paper puts forward six proof methods,hoping to bring new enlightenment and breakthrough to the mathematical circle through the exploration and verification of these methods.

关 键 词：对称素数 共轭素数 哥德巴赫猜想 Collatz猜想 贝特兰定理推广 诺特定理 素数线 

分 类 号：O156[理学—数学]