On the relationship between the Collatz conjecture and Mersenne prime numbers
General Mathematics
2016-08-09 v2
Abstract
The purpose of this study is to show how to get a necessary criterion for prime numbers with the help of special matrices. My special interest lies in the empirical research of these matrices and their patterns, structures and symmetries. The matrices in turn depend on an expansion of the Collatz algorithm 3n+1.
Cite
@article{arxiv.1608.00862,
title = {On the relationship between the Collatz conjecture and Mersenne prime numbers},
author = {Jonas Kaiser},
journal= {arXiv preprint arXiv:1608.00862},
year = {2016}
}
Comments
v2: Additional Info: It turns out that m_C and n_c (Rows and Columns of the Collatzmatrix...) are linked by the following equation : (2^n_C)-1) mod m_C = 0!