Number Theory

    

Any Even Number Greater Than 6 Can be Written as the Sum of Two Prime Numbers

Authors: Xiaohui Li

The so-called strong Goldbach conjecture, which means that any even number greater than 6 can be written as the sum of two prime numbers, is also known as the "strong Goldbach conjecture" or the "Goldbach conjecture about even numbers".This paper utilizes the basic principle that the number of all odd numbers in the positive integer remains constant, and the sum of all odd numbers remains constant, and the values of odd numbers are not equal to each other. It is found that there are both odd prime numbers pr1 and pr2 in the [3, n] and (n, 2n-2) intervals, respectively. Then, the equivalent transformation is performed by using the principle that the number of all odd numbers, the sum of all odd numbers remains constant, and the values of odd numbers are not equal to each other, thereby proving that 2n=pr1+pr2.

Comments: 3 Pages.

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Submission history

[v1] 2023-08-24 01:12:59

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