## Introduction

A natural number is a number which is greater than 0 , the value of natural numbers range from 1 to infinity .

Natural numbers are used mainly for counting , the application of natural number is enormous in mathematics and computer science. We usually use the natural number for ordering the items in any application .

## Applications

Natural number forms the basis for origination of many others series of number like rational numbers, complex numbers , real numbers .

## Definition

ℕ_{0} = ℕ^{0} = ℕ ∪ {0} = {0, 1, 2, …}

## Properties

According to Peano axioms.

- 0 can be considered as natural number.
- Every natural number has a successor which is also a natural number.
- 0 is not the successor of any natural number (0 should be first).
- If the successor of equals the successor of , then equal to .

Natural numbers are mainly used in computer science ,in writing the programs , in incrementing and decrementing the numbers in looping statements ,we use the natural numbers. Hence the usage of natural number is having highest importance in computer science .

We can find the sum of n natural numbers using the formuls

sum = n(n+1)/2.

## Conclusion

Natural numbers are very important in mathematics and computer science , they have their own importance in defining the many series.