Periodic Table Of PRIMES (PTOP) and the Goldbach Conjecture--- How to Make with Fractals

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The PS — 3,5,7,11,13,17,19, 23, 29, 31, 37, 43, …— of course, goes to infinity.

Here, we limit the PS-Fractal — i.e., truncate it — to the point where the two members of the PPset (P1, P2) equal each other, e.i., PPset (5,5), and end the Trail.

That part of the PS-Fractal that is limited will be naturally picked up by subsequent PPset Trails.

The redundancy reduction helps us see the pattern!

Reginald Brooks

December 8, 2019, updated January 25, 2020

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Periodic Table Of PRIMES (PTOP) and the Goldbach Conjecture--- How to Make with Fractals

By RBrooks

While “hidden” on the BIM (BBS-ISL Matrix), the PRIMES form PPsets — pairs — whose members lie in equal, symmetrical steps on either side of the EVENS number that has been divided by 2. This geometric, embedded pattern on the BIM can be presented as the PTOP: Periodic Table Of PRIMES. Here, these PPsets form the EVENS. The PPsets become “Trails” of PPsets, that increasingly overlap such that more than one PPset is present to compose a given EVEN. In doing so, they satisfy and prove the Goldbach Conjecture!

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