Brief Summary on Frequently-used Properties about Divisibility of Two's Power Plus-minus One

Jian Hui Li

Abstract


The article collects the most frequently-used properties of two's power plus-minus one, and classifies them into seven sorts in accordance with the criterion of divisibility, indivisiblity, the calculation of the great common divisor and other traits. Each property is marked with its concrete provenance so that it is a useful reference and convenient for researcher to refer. Some new useful identities are also proved in the paper.

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DOI: https://doi.org/10.5539/jmr.v10n3p53

License URL: http://creativecommons.org/licenses/by/4.0

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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