Goldbach Theorem 7 M$ V+ W1 {5 i6 l& U$ q5 t Union of set construction and analysis* J6 I7 \" Z+ B# J5 J( B2 M9 u4 Z+ M
/ s7 k( n. C3 R9 x" a$ C Loudi Xiaoguang mathematical research studio Su Xiaoguang' V! K3 Y, N4 C8 }1 Y a# X
Abstract: In the analytic number theory Goldbach problem is an important issue. The authors studied the:A={N │ N = (N-i) + i, N is a natural number, i belong to N} Clearly A is a countable set。C={N │ N = Pi + Pj, N is even number, Pi, Pj is prime number,i, j is natural number} Clearly, C is A subset。So C is a countable set.If x ={x|x no less than 6 and not more than N is an even number,x=P1+P2, P1, P2 is prime number},card (x)=M (x).Clearly, x is C subset。So x is a countable set.We can get the M(x) range,If N ={N|N = P1 + P2, N is even number, P1, P2 is prime number},card (N)=D(N),D(N)=M(N)-M(N-2) ! s% C* U9 `: F* y5 DSo when N> 800000 when, D(N)No less than1.8432(1-1/logN)N/log^2_(N-2);I - n3 s4 P' b2 YNot more than5.0176[1+2/logN +o(1)]N/log[(N-2)/2]log(N-2)。; B3 f4 c; g" L y& E
Key words: Germany,Goldbach,Union of set,even number, prime number, 1 ^, X7 M/ w5 u- AMR (2000) theme classification: 11 P32 / Q- \2 R! `5 Z) R1 eEmail:suxiaoguong@foxmail. Com