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The trivial-triple conjecture for the second simultaneous Euler-brick system
The trivial-triple conjecture. If this system has a solution, then $(x,y,z)$ or $(u,v,w)$ equals $(1,0,1)$ . A counterexample would yield a perfect Euler cuboid, with edges and face…
Conjecturerefuteddiophantine-equations euler-cuboids pythagorean-triplesarXiv posted 2 days ago

The trivial-triple conjecture for the second simultaneous Euler-brick system