• Pattern Found involving primes

    From Graham Houston@21:1/5 to All on Sat Sep 23 15:10:58 2017
    Hi .. I discovered a pattern that builds a structure using the natural numbers.. I believe it to be the actual geometry of the numbers and not
    linear as you might expect..

    The reason I've come to this conclusion is because using my method you
    can construct a simple natural structure that acts like a frame that encompasses all the primes and "partitions them off in to incremental
    sets". These sets or partitions as I call them are separated by
    calculable lines that increment in distance.

    The lines that create the frame are 100% void of prime numbers.. This
    is a very useful property of the frame as you can use this to see if a
    number is composite as if it belongs to the frame then its 100% not a
    prime number! I call these numbers warden numbers but I think I'll be
    changing that to something more intuitive such as frame numbers..

    the sets or partitions between these frame lines are extremely dense in
    prime numbers.. There is even a pattern that determines how dense these
    are.. One of these lines in particular within the sets has given me
    some amazing results with find primes that has a pattern based on the
    index into the line... I'm assuming the same will be proven for the
    other lines..

    Some lines are sparse some are extremely dense..

    I can even make simple observations regarding the distribution of the
    prime number because of the structure.. Its clear to see that twin
    primes will always occur due to the fact that frame lines always have
    primes on the opposite sides when viewed in a direction.. The only
    reason the twins would stop happening is if primes ran out and we know
    this to be false..

    For anybody interested in this I can explain how it works from
    beginning to end and how to construct the structure..  its very simple
    but is a little awkward to visualise what is going on until you actual
    build a map of the structure!

    I'm not a mathematician by any stretch of the imagination just a guy
    with a obsession with patterns.. So don't expect any grand Maths talk
    .. It will be in straight english  

    I believe the structure is 100% what Ulam's Spiral kind of hints
    towards.. as I could see how it would create that if done the way it
    was done..

    There is a natural geometric that extends in both directions for + and
    negative numbers .. I've been able to gather some unbelievable insights
    into primes because of it.. I just feel it needs to be know so that
    people with the skills can take it further..

    It also explains the distribution discrepancy of the prime counting
    theorem. It explains the connection 6-1 and 6+1 and primes..

    Is there a way of uploading graphics and documents to the group?

    I can even easy use this to find primes form the name digital patterns
    as they grow based on the index also being the same digital pattern..

    I believe I have something very important to number theory, yet after 8
    years I've still not got a reply from anybody willing to look at my
    finding! Infuriating stuff..

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mathedman@21:1/5 to Graham Houston on Sun Sep 24 10:51:56 2017
    On 9/23/2017 4:10 PM, Graham Houston wrote:

    Hi .. I discovered a pattern that builds a structure using the natural numbers.. I believe it to be the actual geometry of the numbers and not linear as you might expect..


    I'm not a mathematician by any stretch of the imagination just a guy
    with a obsession with patterns.. So don't expect any grand Maths talk
    .. It will be in straight english  


         That's obvious ! But you sure are verbose!

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From David Hobby@21:1/5 to All on Sun Sep 24 10:49:43 2017
    On Saturday, September 23, 2017 at 5:11:02 PM UTC-4, Graham Houston
    wrote:

    Hi .. I discovered a pattern that builds a structure using the natural numbers.. I believe it to be the actual geometry of the numbers and not linear as you might expect..

    The reason I've come to this conclusion is because using my method you
    can construct a simple natural structure that acts like a frame that encompasses all the primes and "partitions them off in to incremental
    sets". These sets or partitions as I call them are separated by
    calculable lines that increment in distance.

    The lines that create the frame are 100% void of prime numbers.. This
    is a very useful property of the frame as you can use this to see if a
    number is composite as if it belongs to the frame then its 100% not a
    prime number! I call these numbers warden numbers but I think I'll be changing that to something more intuitive such as frame numbers..

    the sets or partitions between these frame lines are extremely dense in
    prime numbers.. There is even a pattern that determines how dense these
    are.. One of these lines in particular within the sets has given me
    some amazing results with find primes that has a pattern based on the
    index into the line... I'm assuming the same will be proven for the
    other lines..

    Some lines are sparse some are extremely dense..

    I can even make simple observations regarding the distribution of the
    prime number because of the structure.. Its clear to see that twin
    primes will always occur due to the fact that frame lines always have
    primes on the opposite sides when viewed in a direction.. The only
    reason the twins would stop happening is if primes ran out and we know
    this to be false..

    For anybody interested in this I can explain how it works from
    beginning to end and how to construct the structure..  its very simple
    but is a little awkward to visualise what is going on until you actual
    build a map of the structure!

    I'm not a mathematician by any stretch of the imagination just a guy
    with a obsession with patterns.. So don't expect any grand Maths talk
    .. It will be in straight english  

    I believe the structure is 100% what Ulam's Spiral kind of hints
    towards.. as I could see how it would create that if done the way it
    was done..

    There is a natural geometric that extends in both directions for + and negative numbers .. I've been able to gather some unbelievable insights
    into primes because of it.. I just feel it needs to be know so that
    people with the skills can take it further..

    It also explains the distribution discrepancy of the prime counting
    theorem. It explains the connection 6-1 and 6+1 and primes..

    Is there a way of uploading graphics and documents to the group?

    I can even easy use this to find primes form the name digital patterns
    as they grow based on the index also being the same digital pattern..

    I believe I have something very important to number theory, yet after 8
    years I've still not got a reply from anybody willing to look at my
    finding! Infuriating stuff..

    Hi.  Speaking as a mathematician, what I'd really like would be a
    definition of how the pattern is formed.

    At a guess, you've probably found something that's a new way of looking
    at the Sieve of Eratosthenes?

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)