Look at the overlay first. Nine individual pattern diagrams, each given a color, are overlaid together along the number line. You will see that when overlaid, the nine individual pattern diagrams together locate every prime number between 1 and 200 with the exception of 2, 5, 197, and 199. Please note that primes 197 and 199 would be located if I expanded the model. The Model can be expanded to locate all prime numbers, no matter how large (excluding 2 and 5, which would never be located in this model).
Overlay of All Patterns (1-9)
How I came to the graphic representations of the individual pattern diagrams:
1) Multiply each base-integer 1-9 by 10. Segregate each (10, 20, 30, 40, 50, 60, 70, 80, 90) into a separate pattern diagram.
2) Assume that the base number (x 10) is a new reference location. That is, assume each base number (x 10) is its own "number zero".
3) Create a set of factors for each individual pattern diagram. The factor-sets are always 3, or 7, multiplied by the first ten primes ( 3, 7, 11, 13, 17, 19, 23, 29, 31, 37) excluding 2 and 5.
4) Add and subtract the values of the products of the factor-set from the reference locations.
Adding and subtracting the values from the reference location will give you two numbers equidistant from the reference location. Draw a circle through the two numbers using the reference number as the center of the circle. The two numbers the circle will pass through will be prime numbers.
Pattern of 10: (1 x 10)
Pattern of 20: (2 x 10)
Pattern of 30: (3 x 10)
Pattern of 40: (4 x 10)
Pattern of 50: (5 x 10)
Pattern of 60: (6 x 10)
Pattern of 70: (7 x 10)
Pattern of 80: (8 x 10)
Pattern of 90: (9 x 10)
