## Tuesday, July 19, 2005

### Primes & Number Theory

The only known method of calculating Primes is by dividing the number you suspect is a Prime by all the numbers preceding it. If the chosen number is a Prime it can only be divided evenly by itself and 1. For instance 11, 13, 17 and 19 are all Primes because they can only be divided by themselves and 1 without any leftover fractions. There is a new method using Number Theory. Any number that is actually a Prime has 1, 3, 7, 9 in its’ 1’s column. The Primes 11, 13, 17, 19 are an example of this phenomena. Not all numbers with 1, 3, 7 and 9 in their first column are primes. For instance 21, 33, 27, and 99 aren’t Primes. Number Theory is the method for rapidly telling which number ending in 1, 3, 7 and 9 are Primes. You will see if you take the Prime numbers 11, 13, 17, 19 and add their digits you get for 11 (1 + 1 = 2), for 13 ( 1 + 3 = 4), for 17 ( 1 + 7 = 8) and for 19 ( 1 + 9 = 10). If you take the numbers 21, 33, 27, 99 which aren’t Primes you will see when you add their digits you get for 21 (2 + 1 = 3), for 33 (3 + 3 = 6), for 27 (2 + 7 = 9), for 99 ( 9 + 9 = 18). Most things in this universe seem to be related to the number 3. Things, good or bad, usually happen in 3’s. Most discussions have 3 major points. Traffic lights usually have 3 lights, red for stop, yellow for caution and green for go. You are usually given 3 chances to accomplish something. Most people can only remember 3 things on a list. The triangle, consisting of 3 sides, is the strongest form of construction. The people you know in your life can be classified as acquaintances, friends and soulmates. If you organize a speech, tell them what you are going to say, say it and tell them what you said. It would seem, therefore, that there is a high degree of likelihood that the number 3 is involved in the calculation of Primes. Upon examination you will see if you divide the sum of the Prime digits 11 (2), 13 (4), 17 (8) and 19 (10) by 3 11 (2/3), 13 (4/3), 17 (8/3) and 19 (10/3) you obtain a fraction. If you divide the sum of the digits that aren’t Primes 21 (3), for 33 (6), for 27 ( 9), for 99 ( 18). by 3 21 (3/3), for 33 (6/3), for 27 ( 9/3), for 99 ( 18/3). you obtain a whole number. Therefore you will see if the digits in any numbers ending in 1, 3, 7, or 9 when totaled and divided by 3 produce an odd number they are Primes.

To summarize:

All Prime Numbers beyond one column in width have a 1, 3, 7, 9 in the first column. For instance 11, 13, 17, 19 are Prime Numbers. Not all numbers ending in 1, 3, 7, 9 are Primes. For instance 21, 33, 27, 99 aren’t Primes.

Add the digits in the selected number ending in 1, 3, 7, 9. For instance the Primes 11, 13, 17, 19 have a digit total of 2, 4, 8 and 10. The numbers 21, 33, 27, 99 which aren’t Primes have a total of 3, 6, 9, 18

Divide the digit totals by 3. If the number ending in 1, 3, 7, 9 is a Prime the digit total when divided by 3 will be uneven. If the number ending in 1, 3, 7, 9 is not a Prime the digit total when divided by 3 will be even.