## Tuesday, September 27, 2011

### The Complicated Fractal Nature Of Prime Numbers

Mandelbrot, the inventor of fractals, when he worked for IBM was presented with a problem involving interference in the transmission of information. Every so often parts of the transmitted information would seem to randomly drop off / scramble which, needless to say, caused problems with the transmitted informational message. The problem had to be fixed, but as the information drop off / scramble appeared to be random , everyone was flummoxed because of the lack of a recognizable pattern. Mandelbrot thought about it and started experimenting. One time he decided to take a straight line and divide it into 1/3rd . He discarded the middle 1/3rd and kept the other 2/3rd separated by a space ( ------ ------ ). He continued on and discovered that the pattern produced by this method matched the pattern of the informational message drop off / scramble. This discovery proved that the informational drop off / scramble wasn't random but followed a fractal pattern.

Prime Numbers also follow a fractal pattern. Prime Numbers are defined as numbers that can be only divided by themselves and one ( 1 ).

Prime Numbers follow a complicated fractal pattern. First of all, if you look at a list of prime numbers you will find that they always have the numbers 1, 3, 7, 9 in column zero or otherwise known as the far right column ( 11, 13, 17, 19 ). The second thing you will notice is that all numbers ending in ( 1, 3, 7, 9 ) aren't prime numbers ( 21, 33, 27, 39 ).

The second thing you will notice is that if the sum of the digits of any number ending ending in 1, 3, 7, 9 total a multiple of 3 ( divide by 1/3rd and discard the potential prime just like Mandelbrot discarded his string sections ), except for 3, ( for instance 6, 9, 12, etc. ) it isn't a prime number. If a number ending in 1, 3, 7, 9 in column zero ( far right column ) isn't a prime number it can usually be evenly divided by a number with 1, 3, 7, 9 in column zero ( far right column ).

Lastly, except for the one digit prime number 3 in the one digit prime number series ( 1, 2, 3, 5, 7 ) you will find if you continuously add the digits of a prime number ( for instance 97 = ( 9 + 7 = 16 ) ( 1 + 6 = 7 ) you will find the column zero or far right column one digit totals are ( 1, 2, 4, 5, 7, 8 ). All the rest of the columns are zero ( 01, 02, 04, 05, 07, 08 ).

In summary:

1. Prime numbers, if they are prime numbers, have the numbers 1, 3, 7, 9 in column 0 ( farthest right column ).

2. If the sum of the digits of any number ending in 1, 3, 7, 9, total a multiple of 3, except for 3, ( for instance total 6, 9, 12, etc. ) it isn’t a prime number. If a number ending in 1, 3, 7, 9 in column zero (0), isn’t a prime number it can usually be evenly divided by a number with 1, 3, 7, 9 in column (0).

3. Except for the one digit prime number 3 in the one digit prime number series ( 1, 2, 3, 5, 7 ) if you add the digits of a prime number ( for instance 97 = ( 9 + 7 = 16 ) ( 1 + 6 = 7 ) the column zero or far right column one digit totals are ( 1, 2, 4, 5, 7, 8 ).