Layman's method to verify Goldbach's conjectures

摘要

Goldbach conjecture of prime numbers is one of the unsolved mathematical problems. Many trial solutions appeared in the literature, but so far none has been accepted by the mathematics societies. This paper describes a graphical method devised by me to explain the mystery of the said conjecture. My method based on the teachings of analytical geometry using a rectangular coordinate frame with even numbers as ordinates and prime numbers as abscissas. Straight lines with 45 degree slop and intercepets of varying prime numbers on the ordinate are drawn to meet all the vertical straight draw grom the abscissas. These diagonal lines are designated as separation lines and identified by its intercept number. The intersection of vertical abscissa line, the separation line and a horizontal line drawn from the ordinates shows the relationship of an even number and its pair of prime numbers. These intersections vividly appear on the horizontal even number line and can be easily seen. This method is a graphical version of binary combination of prime numbers and can locate the prime-pairs of any even nuber by drawing a family of separation lines.