Honwei et al
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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
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ABSTRACT |
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"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.
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ARTICLE INFO |
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Article No.: 040919068 Type: Review article DOI: 10.15580/GJSETR.2019.1.040919068
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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.
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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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