Goldbach’s Theorem

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References
[1]        G. H. Hardy , E. M. Wright, An Introduction to the Theory of Numbers, People's Posts and Telecommunications Press, Beijing,2009,1-13.
& u8 H' L/ Q6 y" D8 v1 n[2]        Hua Luogeng，An Introduction to the Theory of Numbers, Science Press, Beijing,1979.85-112
[3]        Hua Luogeng，Hua Luogeng's anthology ｜ Number Theory Volume I｜ Science Press, Beijing,2010.199-217.
[4]        J. Barkley Rosser and Lowell Schoenfeld, Approximate formulas for some functions of prime numbers, Ill. Journ. Math. 6 (1962) 64-94.
7 N5 S5 u( A3 X! P[5]        Knang Jichang, Applied inequalities, Shandong science and Technology Press,Ji'nan,2010.
346-358.
[6]        Pan Chengdong, Chinese Annals of Mathematics,Series B, 1982,3(4):555-560.
  {; l( n# p3 z8 q* X[7]        Pan Chengdong, pan Chengbiao，Analytical number theory basis，Harbin Institute of Technology Press，Harbin，2012,196-375.

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Abstract  We Definition Collection of sums of prime numbers is a set all integers in,
the form of p+p’ (for Prime number p,p’ Not less than 3),which is recorded as M (x),According
3 l# \  z, B5 _$ Y7 M1 ^to the prime number theorem with error termestimate the extreme value of M (x),
  P0 [% \$ O# Kuse the Newton-Leibniz formula to calculate the value difference of M (x), and
derive Goldbach Theorem.
2 f7 B: c' ~4 D5 oKey words  even numbers, Goldbach, Collection of sums of prime numbers , constant
MR(2010) Subject Classification  11P32

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摘要:我们定义素数和的集合是所有整数的集合，p + p’（素数p，p’不小于3）的形式，记录为M（x），根据带有误差的素数定理估计M（x）的极值，使用Newton-Leibniz公式计算M（x）的值差，然后推导哥德巴赫定理。
  关键词:偶数，哥德巴赫，素数和集合，常数
# J2 e8 F' W' K! e& ]" d+ \  MR（2010）主题分类11P32




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I havesubmitted a new manuscript titled "Goldbach Theorem" forconsideration by Annals of Mathematics.

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