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arXiv · 1304.7321

Two Symmetric Properties of Mersenne Numbers and Fermat Numbers

Shi Yongjin
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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.

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Shi Yongjin. 2013-05-09. Two Symmetric Properties of Mersenne Numbers and Fermat Numbers. https://arxiv.org/abs/1304.7321

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