Wednesday, March 6, 2013

The mathmatics of prime numbers

Notice all children's times table have no fractions. The answers are called composite numbers mathematics expresses each number as an integer. Take the  integer 3  in the 3 times table for example. The composite numbers are multiple  3 jumps.,  3,  6,  9,  12,  15  and so on   ( 3 + 3 + 3  + 3 + 3 +..... ) mathematics expresses as a logarithmic progression, 3, 1's are, 3,  3,  2's are 6,   3,  3's are 9,  3, 4's  are 12,  3,  5's  are 15,  3......... and so on.

This rule of thumb paten is found in every table made up of composite numbers not prime numbers. Then that leaves leaves us with any number between each jump rule of thumb is a prime number. In other words unlike composites divide with fractions over.

The law of mathematics tells us we can do the reverse. Take 3  4's are 12 for example. dividing 12 by 4 brings us back to 3 the root of that sum. We see from the table proves it clearly by 3 times 4, giving us 12 again. The same sum is found in the times 4 table 4, 3's are 12 and 12 dived 3 equals 4 respectively. 4 and 3 are the roots of the composite 12. 

When we do the reverse of multiplication with non prime numbers such as 12 we ask our selves how many 3's ( a prime ) goes into 12, ( a composite ).The law of mathematics tells us alternatively we can ask  how many 4's ( not a  prime ) go into12 respectively. The same rule of thumb can be seen when we come to all numbers but for primes with fractions over. Mathematics projects the number of 4's that goes into 9 gives is 1 and a halve over and we can ask how many 1 and a halves go into 9..... 4 respectively. Notice that equals  2,  4's  are 8  plus a half plus a half ( or plus 1 ).

Mathematics can project  how many 1's  or  9's go into 9, that equals how many haves go into 9 equals 2 times 9, equals 9 plus 9  is 18 respectively. With the law of mathematics we can explore all possibilities.

Throughout times tables root prime and composite are made up of prime and composite factors. They are made up of two root primes or root composite numbers. The tables show us when ever a sum is the result of multiplying a prime number is often a factorization called prime factors. For example 5,  6's are 30 while 6,  5's are 30 .6 is the remaining factor, because 3,  2's are  6 and 5,  3's are 15  times 2 make 30 respectively. We can consider all possibilities.

3 times 4, is 12,  4 times 3, is 12,  12 dived 3 is 4 and 12 dived 4 is 3 all  the same sum. This works with every sum in the  entire times table.

As for primes 5 divided by 3 for example is a fraction remaining. Yet 8 for example found in the times 2 table tells us 2,  4's are 8 the same composite number in the 4 times table 4,  2's are 8 that tells us 8 divides cleanly without fraction over is not a prime but a composite. The times tables can't lie you know. All times tables are composite numbers not primes. 8 divide 4 is 2  the same as  2,  4's are 8. Exploring all the possibilities 4,  2's are 8 is the same as 8 divided by 4 is 2. 

Mathematicians expresses 1 isn't a prime because it divides any number by itself and operating on the principle of the number divided by itself will always be 1. ( How many 3's go into 3 for example ) It is not a considered a prime because when dividing it is always  less than 1 not an integer.
Mathematicians have been trying to find the limit of primes for centuries. There doesn't seem to be any. An unlimited family tree of prime branches can be created.

Primes have posed many difficulties due to a few composite contradictories  like how many 3's go into 9 for example). Primes are susceptible to infinite decimal fractions. They can go up to hundreds of decimal places and still counting with out any end  like pi does ( Pie )
If we take a straight line and roll into a circle the same straight line goes across it once, twice, three times and a little bit more left over. This bit left over is about a 7th  7 is a prime because 1 dived 7 accurate to 3 decimal places.( 0.142 ) Plus 3 called Pi The result  mathematicians have been trying to find the end of the fraction for centuries. In the Genius book of records there are record breaking recitals of pi to many hundreds of places.

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