Goldbach’s Theorem

数学1+1

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

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数学1+1

数学1+1

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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
" T8 }+ @( z; P3 _3 |  MR（2010）主题分类11P32
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Abstract  We Definition Collection of sums of prime numbers is a set all integers in,
) S6 ~2 w9 k8 ]8 b- B- Pthe form of p+p’ (for Prime number p,p’ Not less than 3),which is recorded as M (x),According
to the prime number theorem with error termestimate the extreme value of M (x),
0 a/ x6 D6 F7 ]( g6 t2 _5 @' Wuse the Newton-Leibniz formula to calculate the value difference of M (x), and
derive Goldbach Theorem.
2 R) q1 q* B/ n0 bKey words  even numbers, Goldbach, Collection of sums of prime numbers , constant
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References
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4 g- r# p' C- u* a" `3 M9 q[2]        Hua Luogeng，An Introduction to the Theory of Numbers, Science Press, Beijing,1979.85-112
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. Q: _4 L" C* s. B; f$ [5 w- V: {[4]        J. Barkley Rosser and Lowell Schoenfeld, Approximate formulas for some functions of prime numbers, Ill. Journ. Math. 6 (1962) 64-94.
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4 p. W; [8 W7 z" }[7]        Pan Chengdong, pan Chengbiao，Analytical number theory basis，Harbin Institute of Technology Press，Harbin，2012,196-375.
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