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

Jian Hui Li

Journal of Mathematics Research, 2018, vol. 10, issue 3, 53-58

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.

Keywords: Divisibility; number theory; discrete mathematics; mathematical competition (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:10:y:2018:i:3:p:53

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