Prime numbers

Take the numbers 1, 3,  5, 7 and 9  leaving the remaining numbers 2, 4, 6, 8 and 10. We can arrange theses in a column of the uneven numbers on the left and a column of even numbers on the right rather like street address arrangements even numbers on one side and uneven numbers on the other.

Left side of the street 1,  3,  5,  7, and 9, and on the other side,  2,  4,  6,  8,  and 10 respectively.

Primes are the uneven numbers of the street and the even numbers called composites on the other. They always divide with fractions remaining with the exception of 1,   2 and 9.

Checking our arithmetic 1 divided by 1 is asking ourselves how many 1's go into 1. Our mathematical instinct agrees of course there is 1-  1 in 1.  2 divided by 1 is dividing 2 in half, which of course is 1 that has no fractions over. But 9 is different.  9 divided by 3 is 3 with no fractions.

Our mathematical instinct agrees 9 can't be a prime because  of course 3-  3's are 9. This makes 1 seem like a prime and a mathematical check tells us  2 divided by any other number than 1 has fractions remaining a prime and  9 is definitely not a prime. In a true sense prime numbers are 2, 3, 5, and 7.

The two columns with the exception of 1,  2,  and 9 make it clear all the numbers of the left column cannot be divided evenly. There will always be fractions remaining. If we are curious enough we learn our mathematical instinct asks us how many 4's go into 5. It will agree of course there is only one 4 with  a 1 over. 5 is an example of a prime.

No mater what number the left uneven column ( or the prime number side of your neighbourhood  street numbers except of course 1,  2  and 9 if you like ) always has a fraction remaining. Some of us would prefer to include 1 as a prime because it is noted when 1 dividing any number ends up with a fraction over. Others disagree because it is noted if we ask ourselves how many 1's go into 1 of course there is only 1-  1 in 1.

Our mathematical instinct agrees there is 1-  1 in 1 and 4- 1's in 4 and so on. It there are 9-  1's in 9 and 1-  9  in 9 respectively. Our mathematical instinct observes there is a dominating facture 1.

Primes ( of course with the exception of 1, 2, and 9 ) can be double, triple, 4-  5,  to as many big number digit we like. We see 11, 13,  15,  17  and 19 can't be divided evenly just as 21, 23, 25, 23, 27 and 29.  3 digit numbers like, 101, 103, 105, 107, 109, or 4 like 1001, 1003, 1005 are primes.

Primes can be any number of digits long. There is so many there are literally an infinite number of to account for. A mathematical sequence only involving primes can be a part of computer encryption. But a good computer encryption includes up to 6 digit or more number long mixture of letters and common computer keyboard symbols.( 6#37R&........ password respectively ).

If we check our math's 10 divided in half is dividing by 2 ( a composite divided by a prime ) giving a prime 5. That is far as we can dived evenly. Dividing in half again  results in 2 and a half equal to a quarter of 10  which is just as we divided 10 by 4 resulting in composite divided by a composite. Note in typical  children's time tables every answer column are composites The law of mathematics don't allow any primes.

Finding primes are in any number are called prime factors. Take 30 for example. 30 divided in half ( by 2 ) is 15. If we apply the laws of mathematics 3-   5's are 15,  15 is a  prime factor. Adding 15  together is 30 that equals to  6-   5's are 30,   5- 6's is 30.  30 divided by 5 is 6 and 30 divided by 6 equals 5 respectively. Mathematics can't lie you know.

We can ask ourselves how many 5's go into 30-  5 being a prime is the prime factor. If we divide the composite 6 in half  gives us 3 a prime. In other words  3 and 5 are  prime factors of 2-   3's  are 6. By breaking down any large number like that we can find many of prime factors like 5-  3's are 15  and if we double 15 ( times 2 a composite ) is 30, 15 and and 3  are the prime factors of 30 Respectively.

Operating on the principle we can deduce an infinite number of prime factors out of 100's, 1,000's , millions, billions even tens of 1,000's of billion digit long numbers. We can abstract prime factures from light speed which is just under a number of 300 thousand kilometers per second  or in terms of kmph 10 thousand and 80 million kmph velocity number of digits long number if you like.