One Saturday afternoon Rima was relaxing with a storybook in her hand. Just then there was a knock on the door, her sister…oops…how could she...
Pierre de Fermat posed one problem more than 350 years ago and the problem is stated as follows “Find a number which can be written in two different ways...
A rational number or a fraction where the numerator is $1$ and the denominator is any positive integer $n,$ is called a unit fraction and is denoted as...
We will start this topic with the statement of Fundamental Theorem of Arithmetic.Fundamental Theorem of Arithmetic: Every positive integer $n > 1$ can be...
Problem 1: If $a$, $b$ and $c$ are three positivie numbers then, $$\frac{b^2 + c^2}{b + c} + \frac{c^2 + a^2}{c + a} + \frac{a^2 + b^2}{a + b} \geq a + b +...
DefinitionFor any positive integer $n (>0)$ the factorial of $n$, denoted as $n!$, is defined as\begin{align}n! =...
For any prime $p$ other than $2$ and $5$ first find out some $x$ such that $px = 10y + 1,$ where $x$ and $y$ are both integers. In number theory, Bezout's...
We provide in this note a brief account of our number system. Idea is to introduce different types of numbers and to discuss a few relevant concepts associated...