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

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  • 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.

Suggested Citation

  • Jian Hui Li, 2018. "Brief Summary on Frequently-used Properties about Divisibility of Two's Power Plus-minus One," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(3), pages 53-58, June.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:3:p:53
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    More about this item

    Keywords

    Divisibility; number theory; discrete mathematics; mathematical competition;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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