Article
Version 1
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Hyperbolic Primality Test and Catalan–Mersenne Number Conjecture
Version 1
: Received: 10 May 2024 / Approved: 14 May 2024 / Online: 14 May 2024 (13:53:44 CEST)
How to cite: Lee, Y. Hyperbolic Primality Test and Catalan–Mersenne Number Conjecture. Preprints 2024, 2024050952. https://doi.org/10.20944/preprints202405.0952.v1 Lee, Y. Hyperbolic Primality Test and Catalan–Mersenne Number Conjecture. Preprints 2024, 2024050952. https://doi.org/10.20944/preprints202405.0952.v1
Abstract
We develop a primality test for Mersenne numbers and investigate the primality of the sequence of Catalan-Mersenne numbers. We use induction as a proof to show that the 5th Catalan-Mersenne number is a prime number, thus demonstrating the infinitude of Mersenne primes.
Keywords
Catalan-Mersenne conjecture; Mersenne prime; double Mersenne prime
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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