Greener Journal of Science, Engineering and Technological Research

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Honwei et al

Greener Journal of Science, Engineering and Technological Research

Vol. 9(1), pp. 8-11, 2019

ISSN: 2276-7835

Copyright ©2019, the copyright of this article is retained by the author(s)

DOI Link: http://doi.org/10.15580/GJSETR.2019.1.040919068

http://gjournals.org/GJSETR

 

 

Even numbers are the sum of two prime numbers

 

Honwei Shi 1, Zhou Mi2*, Delong Zhang 3, Xingyi Jiang 3, Songting He 3

 

1 Suqian College, Industrial technology research institute of Suqian college Jiangsu, Email: 19744090@ qq.com

2 Suqian Economy and Trade Vocational School

3 Suqian College

 

 

ABSTRACT

 

 

 

"Even numbers are the sum of two prime numbers." This is the description of Goldbach's conjecture, and in Canadian Gaye's book "unsolved problems in number theory", it is an open question to put forward a contrary conjecture that "even numbers are the difference between two prime numbers". In this paper, Chandra sieve is used to deduce that the sum of large and even numbers is the sum of two prime numbers, and that "even numbers are the difference between two prime numbers" is a great possibility. At the same time, it is possible to guess the possibility of twin prime conjecture.

 

 

ARTICLE INFO

 

 

Article No.: 040919068

Type: Review article

DOI: 10.15580/GJSETR.2019.1.040919068

 

Submitted: 09/04/2019

Accepted:  13/04/2019

Published: 19/04/2019

*Corresponding Author

Zhou Mi

E-mail: zhoumi19920626@ 163.com

Keywords:

number theory; conjecture; twin prime; Goldbach conjecture.

 

 

 

 

 

 

 

 

 

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REFERENCES:

 

[1] Eric W. Weisstein, "Goldbach Number", MathWorld; http://mathworld.wolfram.com/GoldbachNumber.html

 

[2] Tomás Oliveira e Silva, "Goldbach conjecture verification", http://sweet.ua.pt/tos/goldbach.html

 

[3] Jeff Law, "The Circle Method on the Binary Goldbach Conjecture", 36 Pages Report, Mathematics Department, Princeton University, April 3, 2005.

 

[4] Jingrun Chen, "On the representation of a large even integer as the sum of a prime and the product of at most two primes". Kexue Tongbao 11 (9): 385–386, 1966.

 

[5] Zhang, Yitang (2014). "Bounded gaps between primes". Annals of Mathematics 179 (3): 1121–1174. doi:10.4007/annals.2014.179.3.7. MR 3171761.

 

[6] Moh T. T, “Zhang, Yitang’s life at Purdue” (Jan. 1985-Dec, 1991), Mathematics Department, Purdue University, Prime time, Insight, the Science College of Purdue University.

 

[7] D. A. Goldston, Y. Motohashi, J. Pintz, C. Y. Yıldırım, “Small gaps between primes exist”, Proc. Japan Acad. Ser. A Math. Sci. 82, no. 4 (2006), 6165.

 

[8] Henry F. Fliegel; Douglas S. Robertson, "Goldbach's Comet: the numbers related to Goldbach's Conjecture”, Journal of Recreational Mathematics, v21(1) 1-7, 1989.

 

[9] Roger Ellman, A PROOF OF "GOLDBACH'S CONJECTURE", May 10, 2000, Roger Ellman, 320 Gemma Circle, Santa Rosa, CA 95404, USA.

 

[10] Subhash Kak, Goldbach Partitions and Sequences, Resonance, Volume 19, Issue 11, pp 1028-1037, November 2014.

 

[11] S Kak, Encryption and error-correction coding using D sequences, IEEE Transactions on Computers, Vol.C-34, pp.803–809, 1985.


Cite this Article: Honwei S; Zhou M; Delong Z; Xingyi J; Songting H (2019). Even numbers are the sum of two prime numbers. Greener Journal of Science, Engineering and Technological Research, 9(1): 8-11, http://doi.org/10.15580/GJSETR.2019.1.040919068.


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