Two Symmetric Properties of Mersenne Numbers and Fermat Numbers
General Mathematics
2013-05-10 v4
Abstract
Mersenne numbers and Fermat numbers are two hot and difficult issues in number theory. This paper constructs a special group for every positive odd number other than 1, and discovers an algorithm for determining the multiplicative order of 2 modulo q for each positive odd number q. It is worth mentioning that this paper discovers two symmetric properties of Mersenne numbers and Fermat numbers.
Keywords
Cite
@article{arxiv.1304.7321,
title = {Two Symmetric Properties of Mersenne Numbers and Fermat Numbers},
author = {Shi Yongjin},
journal= {arXiv preprint arXiv:1304.7321},
year = {2013}
}
Comments
10 pages, no figures