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September 22nd, 2017, 07:20 PM   #11
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Quote:
Originally Posted by houston View Post
Okay.. the prime partitions is what I call the set of infinite lines between the infinite lines of that are void of the primes ...
This simply doesn't parse. I skimmed the rest of your post and it continues in the same vein. I think it might be productive just to focus on your first sentence and draw some conclusions. Please be aware that it's great to care about the prime numbers. And I have no doubt that you have some insight to share. I hope you will take my comments as constructive criticism.

I see that

* You are interested in prime numbers. That's a good thing!

* You use standard terminology in nonstandard ways. For example prime partitions are an actual thing in number theory. But you are redefining the term.

* It's no problem to do that; but you have not provided us a definition. I have no doubt that you have something in mind. And in fact it may be something that is perfectly sensible from a mathematical point of view. But you have not taken the trouble to tell us what your specialized words mean. And therefore you cannot communicate your ideas to other people.

* You say that a prime partition is "the set of infinite lines between the infinite lines of that are void of the primes ..." That is very poetic. I need to tell you that these words do not refer to anything that anyone else will be able to understand. They're words you made up and have not defined.

* To unpack your syntax from the inside out:

-- What is the void of the primes?

-- What are the infinite lines?

-- What are the infinite lines within the infinite lines?

* Can you give some specific examples of these things?

Making the effort to communicate with others often helps us focus our own mathematical thoughts. I hope you can find value in my remarks.
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September 22nd, 2017, 07:37 PM   #12
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Quote:
Originally Posted by Maschke View Post
This simply doesn't parse. I skimmed the rest of your post and it continues in the same vein. I think it might be productive just to focus on your first sentence and draw some conclusions. Please be aware that it's great to care about the prime numbers. And I have no doubt that you have some insight to share. I hope you will take my comments as constructive criticism.

I see that

* You are interested in prime numbers. That's a good thing!

* You use standard terminology in nonstandard ways. For example prime partitions are an actual thing in number theory. But you are redefining the term.

* It's no problem to do that; but you have not provided us a definition. I have no doubt that you have something in mind. And in fact it may be something that is perfectly sensible from a mathematical point of view. But you have not taken the trouble to tell us what your specialized words mean. And therefore you cannot communicate your ideas to other people.

* You say that a prime partition is "the set of infinite lines between the infinite lines of that are void of the primes ..." That is very poetic. I need to tell you that these words do not refer to anything that anyone else will be able to understand. They're words you made up and have not defined.

* To unpack your syntax from the inside out:

-- What is the void of the primes?

-- What are the infinite lines?

-- What are the infinite lines within the infinite lines?

* Can you give some specific examples of these things?

Making the effort to communicate with others often helps us focus our own mathematical thoughts. I hope you can find value in my remarks.

I do apologies... I do find it difficult to put into words what I sometimes have in mind.. I will do my best to clear this up..

- What is the void of the primes?

okay I see how this does not make a lot of sense.. what I mean is I have a pattern that looks like a structure and for lack of a better description I do call it a structure.. the structure is built of infinite lines that run in a sequence and they are completely void of prime numbers.. the numbers on these lines I referrer to as warden numbers because the lines separate the partitions that run in sequence between these lines.. .. the partition I know is a bad term as it is another term in mathematics that I know nothing about.. but its what I call them because they are a set of lines that are between the warden lines..


-- What are the infinite lines?
This referrers to both the warden lines and the partition lines.. they are infinitely long and of course there are an infinite amount of them.. "BOTH"

The structure grows and as it grows the prime "partitions" between warden lines grow! this is why I believe it explains the discrepancy in the P(n) counting function


you can think of it as a step ladder that goes to infinity.. the warden lines are the steps and between them are the partitions that contain the primes.. and they are dense!

---
I don't have any real degree of a Mathematical background! So terminology might be bad.. I simply had a very intense interest in finding a pattern 8 years ago and I found one.. its one that never fails and I've never seen anything like it in any literature, not even close.. in fact I've never seen anybody claim to have found a solid 100% pattern..

It almost drove me nuts in the pursuit of finding it but I tell you wants been worse.. trying to convince somebody with credentials to take me serious.. lol
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September 22nd, 2017, 07:46 PM   #13
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Are you imagining the primes as arranged in a grid, perhaps? Or some kind of geometrical pattern?

"... the structure is built of infinite lines that run in a sequence and they are completely void of prime numbers..."

You are visualizing something but you have to say what that is.

Can you give an example? The first few primes are 2, 3, 5, 7, 11, ... Where are the lines, where is the void?

For example there's a pattern called the Ulam spiral, in which you arrange the primes in a spiral emanating from the origin of a square grid. Nobody fully understands what makes this pattern.

So clearly you have a visualization, but you aren't explaining it or saying what it is. What void, what lines?
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September 22nd, 2017, 07:51 PM   #14
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Quote:
Originally Posted by Maschke View Post
Are you imagining the primes as arranged in a grid, perhaps? Or some kind of geometrical pattern?

"... the structure is built of infinite lines that run in a sequence and they are completely void of prime numbers..."

You are visualizing something but you have to say what that is.

Can you give an example? The first few primes are 2, 3, 5, 7, 11, ... Where are the lines, where is the void?

For example there's a pattern called the Ulam spiral, in which you arrange the primes in a spiral emanating from the origin of a square grid. Nobody fully understands what makes this pattern.

So clearly you have a visualization, but you aren't explaining it or saying what it is. What void, what lines?
Yes Ulam's Spiral is actually a messed up version of the structure... This I realised not to long after finding the pattern.. How do I go about putting this in to a comprehensive document.. I really do have problems putting things into context..

I've basically figured out what lies behind that spiral .. I know what I have found will have a major impact on prime number theory

Last edited by houston; September 22nd, 2017 at 07:52 PM. Reason: update
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September 22nd, 2017, 07:56 PM   #15
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Quote:
Originally Posted by houston View Post

I've basically figured out what lies behind that spiral .. I know what I have found will have a major impact on prime number theory
To that end you'll need to figure out how to explain your idea.

I'm done for the evening but perhaps you can give some thought to how you would explain this to me. I know nothing about what you're talking about. If your idea is a grid, say that. A grid of what? Points? Primes? Tell us. Nobody can read your mind. You have to tell people what you are doing.

For example you can tell someone how to write a program to implement the Ulam spiral. You can give the recipe. Anyone in the world can build a perfect Ulam spiral to the limits of the pixels on their screen.

See if you can work toward that. Tell me exactly what your structure is. Tell me how to build one of my own. Like sharing a recipe. Tell me the ingredients, tell me what to do with them.

Last edited by Maschke; September 22nd, 2017 at 08:00 PM.
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September 22nd, 2017, 07:59 PM   #16
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I'll start putting something together, but its like 5am here lol .. will be back with something more robust..
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September 23rd, 2017, 01:32 PM   #17
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Mashcke, Houston never actual used the phrase "the void". He used the phrase "that are void of primes". I take that to mean that there is some part of his structure of integers that has no primes in it.
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September 23rd, 2017, 05:11 PM   #18
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Originally Posted by Country Boy View Post
Mashcke, Houston never actual used the phrase "the void". He used the phrase "that are void of primes". I take that to mean that there is some part of his structure of integers that has no primes in it.
thats correct.. the structure is completely free of prime numbers.. I've made some fantastic discovers today.. I'll be updating on this as soon as I gather as much material as possible.. I'm trying to make this a painless to understand as possible.. it is all very simple, its just I might have problems conveying that lol
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