Number Theory

    

On Prime Cycles in Directed Graphs Built with Primality Test

Authors: Marcin Barylski

One of the most famous unsolved problems in mathematics is Collatz conjecture which is claiming that all positve numbers subjected to simple 3x + 1/2 formula will eventually result in 1, with only one known cycle (1, 4, 2, 1) present in the calculations. This work is devoted to finding cycles in other interesting sequences of integer numbers, constructed with the use of some aspect of primality test.

Comments: 4 Pages. Updating references, fixing two typos in the main text.

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Submission history

[v1] 2024-06-23 00:27:24
[v2] 2024-08-05 09:30:18
[v3] 2025-07-26 07:34:33

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