Congruent Series of Even Powered number with Respect to the Modulus '144'

Sandhyarani Kar

doi:https://doi.org/10.14445/22315373/IJMTT-V58P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 58 | Number 2 | Year 2018 | Article Id. IJMTT-V58P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V58P518

Congruent Series of Even Powered number with Respect to the Modulus '144'

Sandhyarani Kar

Abstract

This document introduces 1) a modulus ‘144’ ,which leaves certain remainder , when divides any even powered number . 2) Within a certain power the whole number system makes certain congruent families , making a unit. 3) Within a family the congruent membe rs are placed in particular orders . 4) There are Seven kinds of such arrangements (unit) of congruent members ha ppen , which repeat in a cyclic order throughout whole even power. 5) C ongruent series of square numbers is useful in determining a n odd numb er to be prime or composite.

Keywords

Congruent series, Unique Remainders, Modulus ‘144’ , Prime numbers , Composite numbers , Remainder families .

References

[1] H.S. HALL , S.R. KNIGHT Higher Algebra 2009
[2] M. TYRA Quicker Maths 2008

Citation :

Sandhyarani Kar, "Congruent Series of Even Powered number with Respect to the Modulus '144'," International Journal of Mathematics Trends and Technology (IJMTT), vol. 58, no. 2, pp. 127-132, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V58P518