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# What is a Prime Number Mean in Math?

August 22, 2022
written by Azhar Ejaz

A number is said to be a prime number if is the number that has only two factors, which are, 1 and the number itself. Consider an example of number 11, which has only two factors 1 and 11. This means it is a prime number.

Considered at another example of the number 8, which has two or more factors, i.e., 1, 2, 4, and 8.Â  This means 8 is not a prime number but 8 is said to be a composite number. in this article learn about the prime number.

## What are prime numbers?

A number is said to be a prime number if is the number that has only two factors, which are, 1 and the number itself. In other words, a number greater than 1 that is divisible only by 1 and itself, is defined as a prime number.

## List of prime number

There are prime numbers from 1 to 50. The complete list of prime numbers from 1 to 50 is given below:

## Properties of prime number

Important properties of prime numbers are given below:

• A prime number is a whole number greater than 1.
• It has exactly two factors, that is, 1 and the number itself.
• There is only 2 even prime number.
• Any two prime numbers are always co-prime to each other.
• Every number can be expressed as the product of prime numbers.

## Easy way to calculate the prime number

There are distinct ways to calculate prime numbers. Let us go through two of these methods.

Step1: Substitute whole numbers for n in the formula’n2 + n + 41′. This formula will give you all the prime numbers larger than 40. Let us substitute a few whole numbers and check.

• Let us check this formula, n2 + n + 41, for the number 0, So, 02 + 0 + 41 = 0 + 41 = 41
• Let us check this formula, n2 + n + 41, for the number 1, So, 12 + 1 + 41 = 2 + 41 = 43
• Let us check this formula, n2 + n + 41, for the number 2, So, 22 + 2 + 41 = 6 + 41 = 47

Therefore, we can find all the prime numbers larger than 40 using this formula.

Method 2:

Every prime number, apart from 2 and 3, can be written in the form of ‘6n + 1 or 6n – 1’. So, if we have any number different from 2 and 3, we can check if it is prime or not by trying to express it in the form of 6n + 1 or 6n â€“ 1

• Let us check this formula, 6n – 1, for the number 1, So, 6(1) – 1 = 5
• Let us check this formula, 6n + 1, for the number 0, So, 6(2) + 1 = 13

Now, we know that the numbers 5, 7, 11, and 13 are prime.

Summary:

• The only 2 is an even prime number.
• All prime numbers are not odd. This is because 2 is an even number and a prime number as well. In fact, 2 is the only even prime number.
• 1 is neither a prime number nor a composite number
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