| 与异元奇素数对有关的Goldbach数数量的估算 |
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| 引用本文： | 涂象初,涂承媛,涂承宇.与异元奇素数对有关的Goldbach数数量的估算[J].北京工业大学学报,2007,33(7):748-750. |
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| 作者姓名： | 涂象初 涂承媛 涂承宇 |
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| 作者单位： | 北京工业大学,电子信息与控制工程学院,北京,100022;北京工业大学,机械工程与应用电子技术学院,北京,100022 |
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| 摘 要： | 通过研究异元奇素数对的分布,提出并证明了与这类奇素数对有关的Goldbach数数量的估算公式,即与异元奇素数对有关的、不大于2N的Goldbach数数量n(G(2n))的最保守估计为:当N充分大时, n(G(2n))＞N(0．956/ln N-2/N)~2;于是,当N→∞时,n(G(2n))按此规律趋于无穷大．
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| 关 键 词： | 异元奇素数对 挛生素数 Goldbach数 Chebyshev 不等式 |
| 文章编号： | 0254-0037（2007）07-0748-03 |
| 修稿时间： | 2006-03-10 |
Estimation of the Amount of Goldbach Numbers Related to the Odd-primes-pair With Two Different Elements |
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| TU Xiang-chu,TU Cheng-yuan,TU Cheng-yu.Estimation of the Amount of Goldbach Numbers Related to the Odd-primes-pair With Two Different Elements[J].Journal of Beijing Polytechnic University,2007,33(7):748-750. |
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| Authors: | TU Xiang-chu TU Cheng-yuan TU Cheng-yu |
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| Affiliation: | 1.College of Electronic Information and Control Engineering;Beijing University of Technology;Beijing 100022;China;2.College of Mechanical Engineering and Applied Electronic Technology;China |
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| Abstract: | An equation to estimate the amount of Goldbach numbers no larger than 2N,relating to odd- primes-pair with two different elements,is developed by means of research on the distribution of such odd- prime-pairs.The most conservative estimation of the amount of Goldbach numbers n(G(2n)),no larger than 2N and related to odd-primes-pair with two different elements,is n(G(2n))＞N(0.956/ln N- 2/N)~2 when N is sufficiently large;and n(G(2n))→∞in accordance with the rule expressed by the inequality as N→∞. |
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| Keywords: | odd-prime-pairs with two different elements prime-twins Goldbach number Chebyshev inequality |
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