Number Theory


The L/R Symmetry and the Categorization of Natural Numbers

Authors: Emmanuil Manousos

“Every natural number, with the exception of 0 and 1, can be written in a unique way as a linear combination of consecutive powers of 2, with the coefficients of the linear combination being -1 or +1�?. According to this theorem we define the L/R symmetry of the natural numbers. The L/R symmetry gives the factors which determine the internal structure of natural numbers. As a consequence of this structure, an algorithm for the factorization of Fermat numbers is derived. Also, we determine a sequence of prime numbers, and we prove an essential corollary for the composite Mersenn numbers.

Comments: 22 Pages.

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Submission history

[v1] 2019-05-19 12:19:51
[v2] 2019-05-26 05:54:55
[v3] 2019-08-02 13:21:54

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