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
崔岩 1崔朝栋 2申彪3
作者信息
- 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
- 折叠
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.
Abstract
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Key words
symmetric prime/conjugate prime number/Goldbach conjecture/Collatz conjecture/Bertrand theorem extension/Noether theorem/Prime line引用本文复制引用
出版年
2024