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Study on the Infinity of Twin Primes by Applying Sundaram’s Sieve Method

Received: 08 April 2019    Accepted:     Published: 15 June 2019
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Abstract

Up to now, around the world, Dr. Zhang Yitang from the University of New Hampshire offers the best research results of the infinity of twin primes. In 2013, Dr. Zhang proved the infinity of twin primes that are 70,000,000 apart and received the 2014 Frank Nelson Cole Prize in Number Theory. This study suggests new ways to find prime numbers, twin primes, and triplet primes by applying Sundaram’s Sieve Method and finds the general solution and character of the an+b subset of matrix 2xy+x+y. Besides, by studying the problem that 3n+2 is not the subset of K∪L with three methods, the author finds the way to prove the infinity of twin primes and detailed proofs are presented in this paper. It offers new way to study triplet primes and n-plet primes conjectures.

DOI 10.11648/j.si.20190702.11
Published in Science Innovation (Volume 7, Issue 2, April 2019)
Page(s) 48-58
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

Prime Number, Twin Prime, Triplet Prime, Sundaram’s Sieve Method

References
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  • Xuchang School of Supply and Marketing, Xuchang, China

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    Yan Kuiying. (2019). Study on the Infinity of Twin Primes by Applying Sundaram’s Sieve Method. Science Innovation, 7(2), 48-58. https://doi.org/10.11648/j.si.20190702.11

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    Yan Kuiying. Study on the Infinity of Twin Primes by Applying Sundaram’s Sieve Method. Sci. Innov. 2019, 7(2), 48-58. doi: 10.11648/j.si.20190702.11

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    AMA Style

    Yan Kuiying. Study on the Infinity of Twin Primes by Applying Sundaram’s Sieve Method. Sci Innov. 2019;7(2):48-58. doi: 10.11648/j.si.20190702.11

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  • @article{10.11648/j.si.20190702.11,
      author = {Yan Kuiying},
      title = {Study on the Infinity of Twin Primes by Applying Sundaram’s Sieve Method},
      journal = {Science Innovation},
      volume = {7},
      number = {2},
      pages = {48-58},
      doi = {10.11648/j.si.20190702.11},
      url = {https://doi.org/10.11648/j.si.20190702.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.si.20190702.11},
      abstract = {Up to now, around the world, Dr. Zhang Yitang from the University of New Hampshire offers the best research results of the infinity of twin primes. In 2013, Dr. Zhang proved the infinity of twin primes that are 70,000,000 apart and received the 2014 Frank Nelson Cole Prize in Number Theory. This study suggests new ways to find prime numbers, twin primes, and triplet primes by applying Sundaram’s Sieve Method and finds the general solution and character of the an+b subset of matrix 2xy+x+y. Besides, by studying the problem that 3n+2 is not the subset of K∪L with three methods, the author finds the way to prove the infinity of twin primes and detailed proofs are presented in this paper. It offers new way to study triplet primes and n-plet primes conjectures.},
     year = {2019}
    }
    

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    AU  - Yan Kuiying
    Y1  - 2019/06/15
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    AB  - Up to now, around the world, Dr. Zhang Yitang from the University of New Hampshire offers the best research results of the infinity of twin primes. In 2013, Dr. Zhang proved the infinity of twin primes that are 70,000,000 apart and received the 2014 Frank Nelson Cole Prize in Number Theory. This study suggests new ways to find prime numbers, twin primes, and triplet primes by applying Sundaram’s Sieve Method and finds the general solution and character of the an+b subset of matrix 2xy+x+y. Besides, by studying the problem that 3n+2 is not the subset of K∪L with three methods, the author finds the way to prove the infinity of twin primes and detailed proofs are presented in this paper. It offers new way to study triplet primes and n-plet primes conjectures.
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