%0 Journal Article %T The Solution of the Indefinite Equation by the Method of Euclidean Algorithm %A Zhongqi Zhou %J Open Access Library Journal %V 11 %N 8 %P 1-8 %@ 2333-9721 %D 2024 %I Open Access Library %R 10.4236/oalib.1112011 %X In this paper, a new mathematical method is used to study the indefinite equations of binary quadratic and binary arbitrary order, the problem of judging and solving these indefinite equations with or without solutions is solved. %K Euclidean Algorithm %K Binary Quadratic Indefinite Equation %K Indefinite Equation of Higher Order in Binary %K Positive Integer Solutions %U http://www.oalib.com/paper/6832785