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

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If, to a vertical presentation of the PS, one combines at each sequential prime step in that sequence, a new PS — whose length equals said prime step — a series of Prime Pair sets (PPsets) will form a zig-zagging diagonal “Trail” downward to the right.

As the PS grows, so, too, does the PPsets Trail grow — increasing by one for each prime step. This rate of growth far exceeds the rate of growth of the Prime Gaps.

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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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