On the solvability of x2 = b(Mod m)

Tommy Dreyfus; Theodore Eisenberg

doi:10.1080/0020739830140404

On the solvability of x² = b(Mod m)

Tommy Dreyfus, Theodore Eisenberg

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Euler's criterion is the usual procedure used for assessing the solvability of the equation x² = b(mod m). This criterion is applicable only when b and m are relatively prime and must be applied to each b (0 ≤b < m). Described in this paper is an alternative criterion which characterizes and counts, for a general modulus m, all numbers b for which x² = b(mod m) is solvable.

Original language	English
Pages (from-to)	415-421
Number of pages	7
Journal	International Journal of Mathematical Education in Science and Technology
Volume	14
Issue number	4
DOIs	https://doi.org/10.1080/0020739830140404
State	Published - 1 Jan 1983

ASJC Scopus subject areas

Mathematics (miscellaneous)
Education
Applied Mathematics

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This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1080/0020739830140404

Cite this

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