Prime Numbers In Maths - 2023

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Did you know that prime numbers in maths are unique and special numbers?

Prime numbers in maths are whole numbers greater than one that can only be divided evenly by one and themselves. They are whole numbers greater than one that can only be divided evenly by one and themselves. Unlike other numbers, prime numbers have no divisors apart from one and the number itself.

In this blog, we will learn more about prime numbers in maths, exploring their properties, applications, and significance in various fields of Mathematics.

What are prime numbers in maths ?

Some prime numbers in maths are 2, 3, 5, 7, and 11 and so on.

Their properties make them a very interesting subjects of study and exploration.

Twin Prime Numbers

Twin prime numbers are pairs of special numbers that are very close to each other and only have one even number between them, like 3 and 5, where there are no other prime numbers (numbers divisible only by 1 and themselves) in between.

Co-Prime Numbers

Co-prime numbers are two numbers that don't have any common factors except for 1, which means they cannot be divided evenly by the same number other than 1. For example, 9 and 16 are co-prime because their only common factor is 1.

Prime Number examples

There is a simple prime number formula in maths to check if a number is prime or not, you can follow the steps outlined below:

Start with the number you want to check.
If the number is less than 2, it is not prime.
Check for divisibility by numbers from 2 to the square root of the given number.
If no divisors are found up to the square root of the number, it is prime.

Here are prime number formula in maths in 3 simple steps

Let's check if the number 17 is prime:

Step - 1: Start with 17. It is greater than 1, so we proceed.
Step - 2: Check for divisibility by numbers from 2 to the square root of 17. In this case, the square root of 17 is approximately 4.12, so we check for divisibility by 2, 3, and 4.
Step - 3:
No divisors are found up to the square root of 17, so we conclude that 17 is a prime number.

The Smallest Prime Number:

The smallest prime number is 2. It is the only even prime number and holds a unique place in the world of primes. Unlike other even numbers, which are divisible by 2, prime number 2 defies the common pattern and stands alone as the only even prime.

List of Prime Numbers in maths:

Creating an exhaustive list of prime numbers is an impossible task due to their infinite nature. However, we can identify prime numbers within a given range. Here are some prime numbers up to 100:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Largest Prime Number Discovered:

The largest known prime number is called a Mersenne prime. Mersenne primes are prime numbers that can be written in the form 2^p - 1, where p is also a prime number. The current record-holder is 2^82,589,933 - 1, a number with a staggering 24,862,048 digits. This discovery was made possible by distributed computing projects involving thousands of computers working collectively.

In conclusion, prime numbers are like special treasures in math. They have unique properties and go on forever. Mathematicians love them! They're important for many things, like keeping secrets safe and solving problems. Prime numbers are all around us, and they make math even more exciting!

Prime Numbers Questions:

Which is the largest 2-digit prime number?

Which of the following are prime numbers?

Which is the smallest 3 digit prime numbers?
Fill in the boxes to complete the prime factorization of 99.
Select the correct the prime factorisation of 340