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、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 oddprimes-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))→∞ co in accordance with the rule expressed by the inequality as N→∞.

       

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