👩💻 Join our community of thousands of amazing developers!
IntroductionHistorically, thanks to Gauss, the quadratic reciprocity law marked the beginning of algebraic number theory. Therefore it it deserves a good dose of attention. However, whacking the definition to the beginner would not work pretty well.We consider the equationx^2+by = a,\; (a,b\in \mathbb{Z}),one of the simplest non-trivial multi-variable Diophantine equations that can be imagined. Trying to violently search all solutions without any precaution is not wise. Therefore we consider red...