PRIME NUMBER KEY

ALL NUMBER consists of FACTORS of 2, 3 or PRIME NUMBERS, and two and three of course being prime as well...

Prime Factors - An interesting pattern emerges with the factors of 2 and 3.

For the longest time when I first learned about prime numbers, it puzzled me that as I was taught in school that there was no known pattern for prime numbers? It however has led me on this journey to find my own truth, and I wish to share it now.


By definition, a PRIME NUMBER is a number that is divisble by itself and one only.
The first method that I came up with was simply by listing all numbers into SIX COLUMNS:


Now what I first did was crossed out all the even numbers (divisible by 2)... (column 2, 4 & 6)
Then I cancelled out the numbers divisible by 3... (rows 3 & 6)
And what was left was the two GREEN COLUMNS shown below...

The two green columns have a striking resemblence to the primes list, it is not quite there yet but this is our first PATTERN for prime numbers! This is the PRIME NUMBER KEY not reduced to a single digit.

When all of these numbers are REDUCED to a single digit, the pattern (572481) emerges!

5 = 5

7 = 7

2 = 11 = 1+1

4 = 13 = 1+3

8 = 17 = 1+7

1 = 19 = 1+9 = 10 = 1+0

...and this pattern repeats to INFINITY!

5 = 23 = 2+3

7 = 25 = 2+5

2 = 29 = 2+9 = 11 = 1+1

4 = 31 = 3+1

8 = 35 = 3+5

1 = 37 = 3+7  = 10 = 1+0

Prime Number Key (572481) - A key as part of the pattern of prime numbers.

Now some numbers such as 25 and 35 are not prime numbers? To find the answer we apply the PRIME KEY to itself.

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The PRIME KEY makes up the first list we can call listA.

ListA
5, 7, 11, 13, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 47, 49, 53, 55, 59, 61, 65, 67, 71, 73, etc.
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Now we need a new list which we will call listB, this includes all the exceptions. These are all combinations of multiples of our prime key.

5x5
7x5, 7x7
11x5, 11x7, 11x11
13x5, 13x7, 13x11, 13x13
17x5, 17x7, 17x11, 17x13, 17x17
19x5, 19x7, 19x11, 19x13, 19x17, 19x19

ListB (sorted in numerical order)
25, 35, 49, 55, 65, 77, 85, 91, 95, 115, 119, 121, 125, 133, 143, 145, 155, 161, etc.
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Finally, with listC we will have TRUE PRIMES as a result from removing listB from listA.

ListA (with the ListB exceptions in bold)
5, 7, 11, 13, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 47, 49, 53, 55, 59, 61, 65, 67, 71, 73, etc.

ListC (True Primes)
5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, etc.
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It is that simple.

Cheers!
Jo