The Equivalent of the Goldbach Conjecture and "Even Number Is the Difference Between Two Prime Numbers"

Mi Zhou

doi:doi:10.11648/j.sd.20190703.15

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The Equivalent of the Goldbach Conjecture and "Even Number Is the Difference Between Two Prime Numbers"

Mi Zhou

Published in Science Discovery (Volume 7, Issue 3)

Received: 9 April 2019 Accepted: Published: 15 June 2019

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Abstract

Goldbach conjecture can be described as "an even number is the sum of two prime Numbers,", this description is well known, the Canadian guy's book «the unresolved problems in number theory», put forward a conjecture which is contrary to goldbach: that "evens are the different between two prime Numbers", the difficulty of the conjecture is not less than goldbach conjecture, as also an unresolved problem.This paper, based on the promotion of chandra symmetric matrix, there is a natural number as long as there is any matrix at the same time don't appear in the matrix as well as the matrix beginning of 4 , thus making the conjecture set up, thus obtained the equivalent propositions of "an even number are the difference between the two primes" conjecture: 2mn + m + n and 2m + m+n + x (m, n for any natural number, x takes only one value at a time, is a fixed) Is these two formulas can show all the natural Numbers greater than 4 + x? If not, then the "even number is the difference between two prime Numbers" conjecture is true, which is the equivalent of the conjecture. And I get the equivalent proposition of golabach too! Mathematicians can turn to this description, as long as have the solution of this new description, the original conjecture will also be solved, the road of research also greatly broaden, mathematicians on the new description of the solution, in the process of research should be have some achievements.The difference between this equivalent proposition and the original conjecture is that the original conjecture is only a description of a concept, while the equivalent proposition tends to be digitized and formulated.

Published in	Science Discovery (Volume 7, Issue 3)
DOI	10.11648/j.sd.20190703.15
Page(s)	161-164
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Number Theory, Equivalent Proposition, Chandra Matrix

References

[1]	盖伊.《数论中未解决的问题》.2007年1月4日，科学出版社。
[2]	哥德巴赫猜想.1742年.https://baike.so.com/doc/5351515-5586973.html。
[3]	偶数为两个质数的差.《数论中未解决的问题》.2007年1月4日，科学出版社。
[4]	钱德拉对称矩阵.百度百科.https://baike.so.com/doc/24705238-25608647.html。
[5]	钱德拉筛子的性质.百度百科.https://baike.so.com/doc/24705238-25608647.html。
[6]	钱德拉筛子的性质证明.周密.《钱德拉筛及其推广》.中国科学院《科学智慧火花》http://idea.cas.cn/viewdoc.action?docid=20993。
[7]	钱德拉筛子的推广.周密.中国科学院《科学智慧火花》http://idea.cas.cn/viewdoc.action?docid=20993。
[8]	推广矩阵的特性.周密.中国科学院《科学智慧火花》http://idea.cas.cn/viewdoc.action?docid=20993。
[9]	等价命题.百度百科.https://baike.so.com/doc/8585945-8906762.html。
[10]	“偶数为两个质数的差”很大可能成立，周密，《中学生数理化》，2017年第3期，32-33。

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Mi Zhou. (2019). The Equivalent of the Goldbach Conjecture and "Even Number Is the Difference Between Two Prime Numbers". Science Discovery, 7(3), 161-164. https://doi.org/10.11648/j.sd.20190703.15

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Mi Zhou. The Equivalent of the Goldbach Conjecture and "Even Number Is the Difference Between Two Prime Numbers". Sci. Discov. 2019, 7(3), 161-164. doi: 10.11648/j.sd.20190703.15

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AMA Style

Mi Zhou. The Equivalent of the Goldbach Conjecture and "Even Number Is the Difference Between Two Prime Numbers". Sci Discov. 2019;7(3):161-164. doi: 10.11648/j.sd.20190703.15

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@article{10.11648/j.sd.20190703.15,
  author = {Mi Zhou},
  title = {The Equivalent of the Goldbach Conjecture and "Even Number Is the Difference Between Two Prime Numbers"},
  journal = {Science Discovery},
  volume = {7},
  number = {3},
  pages = {161-164},
  doi = {10.11648/j.sd.20190703.15},
  url = {https://doi.org/10.11648/j.sd.20190703.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20190703.15},
  abstract = {Goldbach conjecture can be described as "an even number is the sum of two prime Numbers,", this description is well known, the Canadian guy's book «the unresolved problems in number theory», put forward a  conjecture which is contrary to goldbach: that "evens are the different between two prime Numbers", the difficulty of the conjecture is not less than goldbach conjecture, as also an unresolved problem.This paper, based on the promotion of chandra symmetric matrix, there is a natural number as long as there is any matrix at the same time don't appear in the matrix as well as the matrix  beginning of 4 , thus making the conjecture set up, thus obtained the equivalent propositions of "an even number are the difference between the two primes" conjecture: 2mn + m + n and 2m + m+n + x (m, n for any natural number, x takes only one value at a time, is a fixed) Is these two formulas can show all the natural Numbers greater than 4 + x? If not, then the "even number is the difference between two prime Numbers" conjecture is true, which is the equivalent of the conjecture. And I get the equivalent proposition of golabach too! Mathematicians can turn to this description, as long as have the solution of this new description, the original conjecture will also be solved, the road of research also greatly broaden,  mathematicians on the new description of the solution, in the process of research should be have some achievements.The difference between this equivalent proposition and the original conjecture is that the original conjecture is only a description of a concept, while the equivalent proposition tends to be digitized and formulated.},
 year = {2019}
}

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AU  - Mi Zhou
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PY  - 2019
N1  - https://doi.org/10.11648/j.sd.20190703.15
DO  - 10.11648/j.sd.20190703.15
T2  - Science Discovery
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AB  - Goldbach conjecture can be described as "an even number is the sum of two prime Numbers,", this description is well known, the Canadian guy's book «the unresolved problems in number theory», put forward a  conjecture which is contrary to goldbach: that "evens are the different between two prime Numbers", the difficulty of the conjecture is not less than goldbach conjecture, as also an unresolved problem.This paper, based on the promotion of chandra symmetric matrix, there is a natural number as long as there is any matrix at the same time don't appear in the matrix as well as the matrix  beginning of 4 , thus making the conjecture set up, thus obtained the equivalent propositions of "an even number are the difference between the two primes" conjecture: 2mn + m + n and 2m + m+n + x (m, n for any natural number, x takes only one value at a time, is a fixed) Is these two formulas can show all the natural Numbers greater than 4 + x? If not, then the "even number is the difference between two prime Numbers" conjecture is true, which is the equivalent of the conjecture. And I get the equivalent proposition of golabach too! Mathematicians can turn to this description, as long as have the solution of this new description, the original conjecture will also be solved, the road of research also greatly broaden,  mathematicians on the new description of the solution, in the process of research should be have some achievements.The difference between this equivalent proposition and the original conjecture is that the original conjecture is only a description of a concept, while the equivalent proposition tends to be digitized and formulated.
VL  - 7
IS  - 3
ER  -

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Author Information

Mi Zhou

Philosophy Department, Ren Min University of China, Beijing, China; Commerce Department, Suqian Economic and Trade Vocational School, Suqian, China

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Plain Text BibTeX RIS

APA Style

Mi Zhou. (2019). The Equivalent of the Goldbach Conjecture and "Even Number Is the Difference Between Two Prime Numbers". Science Discovery, 7(3), 161-164. https://doi.org/10.11648/j.sd.20190703.15

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ACS Style

Mi Zhou. The Equivalent of the Goldbach Conjecture and "Even Number Is the Difference Between Two Prime Numbers". Sci. Discov. 2019, 7(3), 161-164. doi: 10.11648/j.sd.20190703.15

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AMA Style

Mi Zhou. The Equivalent of the Goldbach Conjecture and "Even Number Is the Difference Between Two Prime Numbers". Sci Discov. 2019;7(3):161-164. doi: 10.11648/j.sd.20190703.15

Copy | Download

@article{10.11648/j.sd.20190703.15,
  author = {Mi Zhou},
  title = {The Equivalent of the Goldbach Conjecture and "Even Number Is the Difference Between Two Prime Numbers"},
  journal = {Science Discovery},
  volume = {7},
  number = {3},
  pages = {161-164},
  doi = {10.11648/j.sd.20190703.15},
  url = {https://doi.org/10.11648/j.sd.20190703.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20190703.15},
  abstract = {Goldbach conjecture can be described as "an even number is the sum of two prime Numbers,", this description is well known, the Canadian guy's book «the unresolved problems in number theory», put forward a  conjecture which is contrary to goldbach: that "evens are the different between two prime Numbers", the difficulty of the conjecture is not less than goldbach conjecture, as also an unresolved problem.This paper, based on the promotion of chandra symmetric matrix, there is a natural number as long as there is any matrix at the same time don't appear in the matrix as well as the matrix  beginning of 4 , thus making the conjecture set up, thus obtained the equivalent propositions of "an even number are the difference between the two primes" conjecture: 2mn + m + n and 2m + m+n + x (m, n for any natural number, x takes only one value at a time, is a fixed) Is these two formulas can show all the natural Numbers greater than 4 + x? If not, then the "even number is the difference between two prime Numbers" conjecture is true, which is the equivalent of the conjecture. And I get the equivalent proposition of golabach too! Mathematicians can turn to this description, as long as have the solution of this new description, the original conjecture will also be solved, the road of research also greatly broaden,  mathematicians on the new description of the solution, in the process of research should be have some achievements.The difference between this equivalent proposition and the original conjecture is that the original conjecture is only a description of a concept, while the equivalent proposition tends to be digitized and formulated.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - The Equivalent of the Goldbach Conjecture and "Even Number Is the Difference Between Two Prime Numbers"
AU  - Mi Zhou
Y1  - 2019/06/15
PY  - 2019
N1  - https://doi.org/10.11648/j.sd.20190703.15
DO  - 10.11648/j.sd.20190703.15
T2  - Science Discovery
JF  - Science Discovery
JO  - Science Discovery
SP  - 161
EP  - 164
PB  - Science Publishing Group
SN  - 2331-0650
UR  - https://doi.org/10.11648/j.sd.20190703.15
AB  - Goldbach conjecture can be described as "an even number is the sum of two prime Numbers,", this description is well known, the Canadian guy's book «the unresolved problems in number theory», put forward a  conjecture which is contrary to goldbach: that "evens are the different between two prime Numbers", the difficulty of the conjecture is not less than goldbach conjecture, as also an unresolved problem.This paper, based on the promotion of chandra symmetric matrix, there is a natural number as long as there is any matrix at the same time don't appear in the matrix as well as the matrix  beginning of 4 , thus making the conjecture set up, thus obtained the equivalent propositions of "an even number are the difference between the two primes" conjecture: 2mn + m + n and 2m + m+n + x (m, n for any natural number, x takes only one value at a time, is a fixed) Is these two formulas can show all the natural Numbers greater than 4 + x? If not, then the "even number is the difference between two prime Numbers" conjecture is true, which is the equivalent of the conjecture. And I get the equivalent proposition of golabach too! Mathematicians can turn to this description, as long as have the solution of this new description, the original conjecture will also be solved, the road of research also greatly broaden,  mathematicians on the new description of the solution, in the process of research should be have some achievements.The difference between this equivalent proposition and the original conjecture is that the original conjecture is only a description of a concept, while the equivalent proposition tends to be digitized and formulated.
VL  - 7
IS  - 3
ER  -

Copy | Download