Useful links Wiki post on continued fractions Online continued fraction calculator Here, we will present another way of approximating real…

Useful links Wiki post on Farey sequnce We already know that every rational number can be written as a fraction…

The group theory is one of the most fundamental parts of our Number theory course. There is a wide use…

You have already seen a few domain extensions of integers of the form , where is a square-free integer (i.e., ).…

The main goal of this post is to summarise a few fundamental statements for working with groups of type .…

We want to study different maps between groups, so called homomorphisms, in this section. Homomorphisms (and especially isomorphisms) are very…

All three theorems mentioned in the heading of this post are important tools for dealing with congruences and they are…

Imagine having a system of congruence equations, for example mod , mod and mod . We wonder whether such system…

There is always a question whether a given integer is a prime number or not. Such question is easy to…

We are getting closer to Rabin-Miller primarility test and RSA. Our final prerequisites are involutions and avoiding elements, basic parts…