12. The NPS of this addition forms the PTOP: for each vertical PS — the 1st PRIME remains constant (3), the 2nd PRIME sequentially advances one (1) PS WIN — is matched diagonally with the 2nd PS, but now the 1st PRIME sequentially advances, while the 2nd PRIME remains constant within a given PPset.

13. This matching addition of the 2nd PS at the bifurcation point of the common 2nd PRIMES, forms the zig-zag diagonal PPset Trails that are the hallmark of the PTOP.

14. For every subsequent vertical PPset match, the Trail increase by one (1) PPset.

15. The rate of such PPset Trail growth far exceeds the PRIME Gap rate.

16. The zig-zag diagonal PPset Trails combine horizontally on the PTOP to give the ∑# of PPsets whose ∑s = The EVEN WIN.

17. More than simply proving the Goldbach Conjecture, the PTOP hidden within the BIM reveals a new NPS connection of the PRIMES: PRIMES + PRIMES = 90° R-angle isosceles triangles.

18. The entire BIM, including the ISL—Pythagorean Triples—and, PRIMES, is based on 90° R-triangles!