Goldbach Theorem. ]" N1 O3 {" l
Union of set construction and analysis 6 ]. O2 V6 W+ \7 F5 h1 L 6 n, a0 c! f# S. P c Loudi Xiaoguang mathematical research studio Su Xiaoguang( ?) _ W5 V! C9 F" F2 T
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)* t, J) c7 p$ R& _
So when N> 800000 when, D(N)No less than1.8432(1-1/logN)N/log^2_(N-2);I 8 m( \ U5 Z& t4 ?8 ?Not more than5.0176[1+2/logN +o(1)]N/log[(N-2)/2]log(N-2)。 " Y8 [$ |4 {, r1 \; CKey words: Germany,Goldbach,Union of set,even number, prime number, " [6 Y% C7 l% ^, ]" \! KMR (2000) theme classification: 11 P32 7 Q/ O, \: K6 \7 m
Email:suxiaoguong@foxmail. Com