The Equivalent Proposition Of An Unsolved Conjecture In Number Theory

In a book 《the unsolved problems in number theory[1]》 which came up with a conjecture"even numbers are the difference between two prime numbers[2]",this conjecture is an unsolved conjecture. In this paper,the author get the equivalent proposition of this conjecture,the theory is based on c...

Full description

Saved in:
Bibliographic Details
Published inJournal of physics. Conference series Vol. 1325; no. 1; pp. 12134 - 12136
Main Authors Zhou, Mi, Liu, Hairui
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.10.2019
Subjects
Equivalence
Mathematical analysis
Matrices (mathematics)
Number theory
Physics
Prime numbers
Online AccessGet full text

Cover

More Information
Summary:In a book 《the unsolved problems in number theory[1]》 which came up with a conjecture"even numbers are the difference between two prime numbers[2]",this conjecture is an unsolved conjecture. In this paper,the author get the equivalent proposition of this conjecture,the theory is based on chandra symmetric matrix[3], this matrix has a specific character : if a nature number N is appear in the matrix,then 2N+1 is a composite number,if N is not in the matrix,then 2N+1 is a prime number.The author made the promotion of the matrix,and get the equivalent proposition of this conjecture:2mn + m + n+x and 2m + m+n if these two formulas can not expressed all nature numbers bigger than 4,then this conjecture is set up;if these two formulas can do it,then this conjecture is not set up; This expression can be the equivalent proposition of this conjecture.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1325/1/012134