Thread: Prime question
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Nov16-11, 05:29 PM
P: 94
Prime question

Weell strange I dont find anything on this

2 is 1/2 of the sytem covered.
3 unto itself would be 1/3 of the sytem covered or 1/3
yet every other 3 is already covered by 2, so 1/3 dived by 2 = 1/6
So 1/2 plus 1/6 equals 4/6.

Asimple pater happens
2 is 1/2 , 3 is 4/6, 5 is 21/ 30, 7 is 148/210, and so on..

Note it is easier to leave the fraction ( ratio as whole instead of reducing them
This is simply due to both the numerator and denominator can be multiplied by the next prime. of course.
The numerator is then just plus 1.

It is such the changes in the gain of each prime is added to the situation yet using just a 1 over the denominator ( the actual coverage of the previous prime intersecting already. to the new intersected portions of the system to see how they change rapidly.)

2 is 1/2 then 3 is 1/6, 5 is 1/30, 7 is 1/210, 11 is 1/ 2310,13 is1 30030, and so on. It gets to be a very small increase very rapidly.

If some one sees were I am wrong or gust plain crazy let me know.

It is easy to see that the larger a prime number used for factor, it rapidly unto itself becomes smaller, ( 1/2, 1/3. 1/5, 1/7, 1/11 1/13. With the part that is intersected by previews numbers and no gain by such intersection, to removing part of the system: then the method I have used should be valid.

The question then becomes does it converge??