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与异元奇素数对有关的Goldbach数数量的估算
Estimation of the Amount of Goldbach Numbers Related to the Odd-primes-pair With Two Different Elements
【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．
【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→∞.
【关键词】 异元奇素数对；
孪生素数；
Goldbach数；
Chebyshev不等式；
【Key words】 odd-prime-pairs with two different elements； prime-twins； Goldbach number； Chebyshev inequality；
【Key words】 odd-prime-pairs with two different elements； prime-twins； Goldbach number； Chebyshev inequality；
- 【文献出处】 北京工业大学学报 ,Journal of Beijing University of Technology , 编辑部邮箱 ,2007年07期
- 【分类号】O156.1
- 【下载频次】25