Re: [PrimeNumbers] amateur question
- Dear mr. Trumbull,
Thank you for your replay on my question. If you are still interested the presentation is saved as bitmaps on the web.
As you know I don't have a great math history. Ok I have a bachelor degree in physics. You are working a lot with math. Mostly you make use of existing math, the history why it's done in a curtain way is only briefly discussed. But I'm just a simple person who likes to know the why's there is less interested in the how's.
In the linked files you will see that reserved numbers (with dividers) are represented as "resonance" points of a sinus. The wave with a frequency of 2 (2, 4, 6, 8 ect) determines the dividers of even numbers. The wave of tree determines the dividers of all the triplet numbers.
If I could I would like to reduce the numbers of waves. The wave with a frequency of 2 (2, 4, 6, ect) already includes the wave with a frequency of 4 (4, 8, 12, 16, ect). This way you can reduce the number of waves. Maybe a more clear correlation can be seen this way. But my math knowledge is to little I'm afraid. I think I will experiment in a program and see what's comes out.
When you take a look at the images you will see a graph with resonance points (that just the way how I call them). The resonance points exist for every number. If we have prime numbers there only is one resonance point. All other number like second or third numbers have two or tree resonance points. In my opinion these numbers are just as unique as prime numbers. Is a number with 100 dividers not more unique then only one dividers? Maybe you have any links ore files what discuss these other numbers (second, third ect.)?
Your representation of markers interests me. I would be delighted to see your graph of the hexagon. If possible could you sent this graph and some explanations in email? This would be more simple the with the post. I am living in Europe the Netherlands.
Best regards and thank you for your reply,
----- Original Message -----
From: robin trumbull
Sent: Wednesday, September 24, 2003 4:40 AM
Subject: Re: [PrimeNumbers] amateur question
hi...i also am an amateur, but I have also been, like you , playing around with prime numbers. I would like to see your graph, but will need some help from friends to learn how to get your picture. However, I agree with you that a prime number does depend upon the number of objects present, and the need to divide them.I think you may find this pattern a nice way to think about separations.
think of a set of prime numbers as the mininum number of separators that will be able to make a set of continuous numbers.
Given a set of numbered apples from 1 to thirty, it is initially seen that thirty numbers will divide them. Given a marker, or separator, if you will, of two, then fifteen numbers can be marked with a single marker of two. Then use three, and you will find only five newly marked items, 3,9,15,21,27. Given 5 as a marker, the newly marked numbers are now 5, ,25,=2 more newly marked. 22 items are marked. the 7 , 11,13, 17,19,23,29 mark another 7 items not previously marked. twenty nine numbers can be marked by just 10 markers. i too have written this into a graph, which is very pretty when each prime number and its initial family members are marked with its own family colors.
I have also done this very nicely with a hexagon,using a prime number sequence coming out of 6 rays of the corners of the hexagon. If interested, write me at 2644 m street, suite a, merced calif dr trumbull 95340. thanks, and good luck.
vincent_preemen <vincent.preemen@...> wrote:
Ok you need to know I'm a amateur. But if anyone has some time
please answer my question.
Some time ago I started some puzzeling with prime numbers. The
question I asked myself was:
-What number of apples can not be evenly shared between
-a number of people?
-You may not give the apples to someone else (divide by one)
-And you may not cut the apples in pieces.
I started making a table. From this diagram I could read the number
of dividers per number of apples. If there is only one divider we
have a prime number. I made a graph in excell and what showed the
cumulative number of dividers. When you see the graph macroscopic
(upto 60000) you see a correlation. When zooming in the "line"is
build of strings.
Could someone easily explain what those strings are?
(I've placed the graph in files section "amateur things")
The file will be removed in a few days to keep everything clean.
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