New Approach to the"1+1"and"3N+1"Conjectures Based on Symmetry
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.
symmetric primeconjugate prime numberGoldbach conjectureCollatz conjectureBertrand theorem extensionNoether theoremPrime line