Open AccessBrief Summary on Frequently-used Properties about Divisibility of Two's Power Plus-minus One
Author(s) -
Jian Hui Li
Publication year - 2018
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v10n3p53
Subject(s) - divisibility rule , mathematics , divisor (algebraic geometry) , property (philosophy) , power (physics) , combinatorics , discrete mathematics , epistemology , philosophy , physics , quantum mechanics
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.