任何一个不小于6的偶数 都可表为一对以上奇素数之和(英文版)

任何一个不小于6的偶数 都可表为一对以上奇素数之和 （英文版） Any Even Number no Smaller than 6 Can be the Sum of Over a Pair of Odd Prime Numbers Meng Qingyu （Email：mqyu36@163.com） [Abstract]: The purpose of this paper is to prove that “each even number no smaller than 6 can be the sum of two odd prime numbers” with the method of “graphic analysis, statistics and calculation” (1+1). (Note: prime numbers and composite numbers of this paper all refer to odd prime numbers and odd composite numbers) [Key words]: Prime numbers, distribution diagrams, figure A, figure B, template of the prime number, template of the composite number, prime numbers, prime pairs I. Introduction N means any even number ( ), h is the serial number of N. Make the “prime number + prime number” of any even number interval , that is, (1+1) are all prime numbers. (1)  (2)    II. Introduction of new mathematical words and use of new calculation data 1. [Template of prime numbers] definition: All composite numbers are excluded from the odd number sequence ≥3. The template of prime numbers and blank positions is the [template of prime numbers] which is represented by ph: 2. [Template of the prime number] definition: After counting the [template of prime numbers], accumulate the [template of the prime number] and represent it with the symbol nh: 3. [Template of composite numbers] definition: All prime numbers are excluded from the odd number sequence ≥3. The template of composite numbers and blank positions is the [template of composite numbers] which is represented by Fh: 4. [Template of the composite number] definition: After counting the [template of composite numbers], accumulate the [template of the composite number] and represent it with the symbol nh: In the above four [templates] figures, the first line is the template number, and the second line is the template. The template is corresponding to the number. For example, the 26th [template of prime numbers], [template of the prime number], [template of composite numbers], and [template of the composite number] are 53, 15, blank, and 11 respectively. The unit of [template] is [plate] which constitutes the [template]. 5. “Difference of prime numbers” definition: after the prime number subtracts 3 and divide 2, the value obtained will be the “difference of prime numbers” which is represented by pc. The formula is: pc=(Pn-3)/2; 6. “Difference of composite numbers” definition: after the composite number subtracts 3 and divide 2, the value obtained will be the “difference of composite numbers” which is represented by Fc. The formula is: Fc=(Fm-3)/2; III. Two distribution figures 1. “(prime number + prime number) distribution figures” (figure A for short) Figure A is drawn by arranging even numbers and then subtracting prime numbers through the [template of prime numbers] arrangement. 2. “(composite number + composite number) distribution figures” (figure B for short) Figure B is drawn by arranging even numbers and then subtracting composite numbers through the [template of composite numbers] arrangement. IV. Chart analysis 1. Figure A reflects the distribution law, number and x-y relationship (e.g. ) of “prime number + prime number” (represented by x, all numerical part within the triangle range on the lower right part of C8 in the figure) (the statistic is in the last two lines of the figure) and “composite number + prime number” (represented by y, all blank part within the triangle range on the lower right part of C8 in the figure) objectively, comprehensively and directly. 2. Figure B reflects the distribution law, number and y-z relationship (e.g. ) of “composite number + prime number” (all numerical part within the triangle range on the lower right part of F8 in the figure) (the statistic is in the last two lines of the figure) and “composite number + composite number” (represented by z, all blank part within the triangle range on the lower right part of F8 in the figure) objectively, comprehensively and directly. 3. Through the study, observation and analysis on figure A and figure B, it is also found that the column length of each even number in figure A is the [template of the prime number] , so A is formed through the accumulation of , that is, . In addition, it can be obtained by using to subtract “the sum of prime difference”, that is, . The column length of each even number in figure B is the “template of the composite number” , so B is formed through the accumulation of , that is, . In addition, it can be obtained by using to subtract “the sum of composite difference”, that is, .