Number Theory


On the ABC Conjecture: The Iron Law of Sines, or Using Collatz Conjecture to solve the ABC Conjecture

Authors: Nicholas R. Wright

This proof identifies the three solutions to the three ABC-conjecture formulations. Given that the ABC-conjecture’s relevance to a slew of unsolved problems, other equations will be proven by inspection. Aside from the ABC conjecture, this proof will solve for a hypothetical Moore graph of diameter 2, girth 5, degree 57 and order 3250 (degree-diameter problem); the Collatz conjecture; and the Beal conjecture. Discussion and conclusion will review a unifying solution by spectral graph theory.

Comments: 7 Pages.

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Submission history

[v1] 2019-02-23 20:22:29

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