Number Theory

    

New Tools to Verify the Collatz Conjecture

Authors: Laurent Nedelec

Since the Syracuse problem has remained unsolved for 80 years, it is possible that it is formally unsolvable. This text offers an « approximate » proof. Using the concepts of inverse graph and an original logical trick (the axis of verified integers), the Collatz conjecture is progressively verified, although no definitive conclusion is reached. Other approaches can build upon the ideas presented in this text to achieve an even more accurate approximation. The text is in French, and an English version is expected to be completed within two months.

Comments: 41 Pages. In French

Download: PDF

Submission history

[v1] 2024-10-11 16:38:36

Unique-IP document downloads: 149 times

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