Detecting square numbers

Research Article

Detecting square numbers

Published in: Quaestiones Mathematicae
Volume 44 , issue 2 , 2021 , pages: 163–185
DOI: 10.2989/16073606.2019.1678530
Author(s): Philip R. Brown , USA

Abstract

We discover some properties of square numbers (perfect squares) if they are expressed in base 2 s for s ≥ 3 and develop an algorithm that builds up the square root of a number (if it exists) from the low order digits to the high order digits.

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