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

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Internally, they form a 90° Right-angle isosceles triangle whose apex lies on the straight-line path between the EVEN/2 and the EVEN.

This geometry is built into the BIM and as the BIM expands to infinity, so, too, does this geometry.

ALL EVENS are characterized as having one or more Right-isosceles triangles composed of two Primes whose products equal the apex value and whose sum equals the EVEN.

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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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