>>11034348Because when you think of primes as a sum of a collection of 3’s and 2’s what you will find is that each prime corresponds to a unique ratio. 1:1 is 5. 2:2 is 10 and 8997:8997 is divisible by 5. 7 is 2:1 and 4:2 is a multiple of 7 etc. if you start with any ratio 1/n and take n from 0 to infinity you will find all of the primes (but some n will fail the prime test because of the other points on the line 2x + 3y ~ the elements in the set of solutions that are not able to be written as a lowest terms fraction.) 1/n is interesting related to primes because the distribution follows a complicated natural logarithm.
>>11034383Rudimentary approach to Goldbachs using this method. (2’s on horizontal 3’s on vertical.) every number is a diagonal. Possible geometric argument about using any two points on the prime diagonals to get to any point on the even diagonals.