An Approach to the Structural Integrity of Prime Number Systems

by Frank C. Fung ( 1st published in October, 2012. )

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A Sunmary for the Paper :

• This is a paper on Prime Numbers and in this paper :
  • we shall be taking a look at the interaction between [ prime-numbers ] and [ composite-numbers ] ;

    in order to properly interpret the issues affecting :

    • the structural integrity within each [ Prime Number System ] .

Core Concepts for the paper :

• CONCEPT ONE :
  • [ 1543 ] is a [ prime number ] and [ natural numbers ] up to [ 1543 ] are made-up-of :
    • Item 1 --- the number [ 1 ] ,

    • Item 2 --- the prime-numbers from [ 2 ] thru [ 1543 ] ,

    • Item 3 --- the composite-numbers in-between [ 2 ] and [ 1543 ] .

    And the 3 items must necessarily add up to [ 1543 ] and :

    • Structural Integrity can only be maintained when this happens .

• CONCEPT TWO :
  • Since Item 1 above is constant ,
    • [ prime numbers ] and [ composite numbers ] may be regarded as complimentary towards one-another ,
      • within the context of Structural Integrity of any one Prime Number System .

    And that-is-to-say :

    • anything that affects the [ distribution of prime numbers ] will also affect the [ distribution of composite numbers ] ,
      • and vice versa .

    Consequently , [ prime numbers ] and [ composite numbers ] must mesh-in simlessly within the [ Prime Number System ] ;

    • othewise hovac will occur .

  We shall be looking at both [ prime numbers ] and [ composite numbers ] in this paper .

A Series of six (6) papers :

• Our paper here shall then consist of the 6 papers as follows :

Table of Content for the After Thoughts

After Thoughts arising from the 6 papers :

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go to the 1st of six papers : On Prime Number Systems and Core Structural Pattern Propagations

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Original dated 2012-10-23