The problem statement states that we need to write a program to compare m^n and n^m. We need to figure out the algorithm to calculate $m^{n}$ and $n^{m}$ and compare them and print accordingly if $m^{n}$ is greater than $n^{m}$, or if $m^{n}$ is less than $n^{m}$ , or if ... Read More

A heptagonal number is a number which can be represented as a heptagon. A heptagon is a polygon with 7 sides. A heptagonal number can be represented as a combination of successive layers of heptagon( 7-sided polygon). Heptagonal number can be better explained with the below figures. The first ... Read More

The problem states that we need to find the GCD that lies in the given range. We will be given two positive integers, x and y and two integers p and q which will be the range as [p, q]. We need to find out the GCD (greatest common divisor) ... Read More

The problem statement includes checking whether a given number is Polydivisible or not for any given integer N. A polydivisible number, also known as magic number, is a number following a unique pattern. The number created by first p digits of the given number should always be divisible by p ... Read More

Our task in this problem is to check if the n-th term of a fibonacci like sequence is odd or even. A fibonacci sequence is a type of sequence in mathematics where each number in the sequence is the sum of the preceding two numbers. A nth term of the ... Read More

The problem statement states that we need to print the N-th centred Hexadecagon numbers for any positive number N. Tridecagonal numbers are the numbers that represent a tridecagon in itself. A tridecagon in mathematics is a polygon which has 13 sides. A centred tridecagonal numbers are the numbers that ... Read More

Hexadecagonal numbers are the numbers that represent a hexadecagon. Hexadecagon is a polygon which consists of 16 sides. A Centred Hexadecagonal number is the number represented by a dot in the centre and other dots surrounding it in the successive hexadecagonal layers i.e. 16 sided polygon. We can understand the ... Read More

For N to be a stormer number, the highest prime factor of the expression N^2+1 must be greater than or equal to 2*N and it should be a positive integer. For example, 4 is a stormer number. Since 4*4+1=17 has the greatest prime factor 17 itself which is greater ... Read More

In this article, we are going to solve the problem of printing first n Fibonacci Numbers using a direct formula. In mathematics, the fibonacci numbers often denoted by Fn (which indicates nth fibonacci number), form a series in which each number is equal to the sum of the preceding two ... Read More

In this problem, we simply need to print the number of ones in the smallest repunit. A repunit is a positive number like 11, 111, or 1111 in recreational mathematics that only has the digit 1. A repunit is of the form $\mathrm{(10*n-1)/9}$ Example $\mathrm{(10*10-1)/9}$ gives 11. $\mathrm{(10*100-1)/9}$ gives 111. ... Read More