Where are all the prime numbers hidden?

Discussion in 'Number Theory' started by fluo2005, Feb 25, 2021.

  1. fluo2005

    fluo2005

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    What other numbers can be found mixed in with the prime numbers?

    Is there a way to remove these other numbers in order to reveal the prime numbers?

    I was able to answer all three questions over a three year period. Here are the answers.

    The prime numbers can be found in the 12-note octave, specifically in columns 1 5 7 and 11. The columns are created by adding '12' in layers to each of these four bases indefinitely. All the prime numbers (except 2 and 3) can be found within these 4 columns.

    The prime numbers are found mixed in with the composites that are created only by the prime numbers themselves. Composite numbers created by 2 are found in intervals 0 2 4 6 8 9 and 10 only. Composites created by 3 are found in intervals 0 3 6 and 9 only. Therefore 2 and 3 are not regular primes.

    The method I found to remove the composites of prime numbers is shown in the text in pdf format I am uploading, and in the 40 second video which contains 13 images of this text posted on YouTube at this link:



    I am no expert in prime numbers, but a beginner. My software skills are rudimentary. The algorithm I devised could contain basic flaws which escape me. I may not succeed in creating a software version. This is why I feel the need for dialogue, constructive criticism, and help.
     

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    fluo2005, Feb 25, 2021
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  2. fluo2005

    fluo2005

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    Composite numbers created by 2 are found in intervals 0 2 4 6 8 and 10 only. (Removed 9.)
     
    fluo2005, Jun 18, 2021
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  3. fluo2005

    paulejking

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    To the second question, I think you might like to read up on the Sieve of Eratosthenes. as a way of "smoking out" prime numbers. That can be Google'd.
     
    paulejking, Jul 26, 2021
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