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A prime number is a natural number greater than 1 that has no positive divisors other than 1 or itself. Prime numbers play a fundamental role in various areas of mathematics and computer science. In this post, we will create a Python program that gets the user’s input. If this number is a prime number, it will return true; otherwise, it will return false. Creating a Prime number program is good to start in Python.

A prime number is any natural number that is greater than 1 that has no positive divisors other than 1 and itself. In simpler terms, a prime number is a whole number greater than 1 that cannot be formed by multiplying two smaller whole numbers. For example, 2,3,5,7,11, and 13 are prime numbers. These numbers are not divided by any other number except 1 and themselves.

**Prime Numbers:**

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, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc.

In this Python program, we will check if the number is prime or not. The following program demonstrates the Python program.

# Python Program

**Output**

**Also Read: **Lambda Function in Python

In this program, we will use the flag variable to determine whether a number is prime or not. We will then print all prime numbers within a given range. In this example, we will use a loop to print the prime number.

**Output**

**Also Read: **A Deep Dive Into Fibonacci Series in Python

We can also find the prime number using the recursion. Recursion is the technique where we call the function itself. The following program demonstrates the Prime Number using Recursion in Python.

**Also Read: **Types of Arrays in Python

In this program, we will use the while loop to check if the number is prime or not. The following program demonstrates is this number is prime or not

**Program**

**Output**

In this program, we will use the Math module to find the prime number. If the number is prime, it will return true; otherwise, it will return false.

**Progame**

**Output**

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In this program, we will use the sympy module. We can test whether a given number is prime or not using the sympy.isprime() function. The following program demonstrates the sympy.isPrime() method.

**Program**

**Output**

In this program, we will use the for…else statement for checking the Prime Number in Python. The following program demonstrates the for ..else loop program in Python.

**Program**

**Output**

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In this method, we will check if a number is prime by dividing it by all numbers from 2 to the square root of the number. The following program demonstrates the trial division method in the Python program.

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**Program**

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**Output**

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In this program, we will check the number using the generator function in Python language. The following program demonstrates the 10 prime numbers indefinitely.

**Program**

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**Output**

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In this program, we will find the prime factorisation of a number taken from the user. The following program demonstrates the Prime factorisation.

**Program**

**Output**

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The sieve of Eratosthenes is an algorithm for finding a prime number at a given limit. It was developed by the Greek astronomer Eratosthenes and is a very simple algorithm for computing the prime number.

The following program demonstrates this algorithm example.

**Program**

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**Output**

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In this article, we learned various techniques to find prime numbers in the Python programming language, such as Using the Math module, the while loop, and the Sympy module. Each method has its own advantages and use cases. Prime numbers, the building blocks of number theory, hold a central position in mathematics and commute science. If you want to explore Python language, check out the Accelerator Program in Business Analytics and Data Science.

FAQs

How to print prime numbers from 1 to 100 in Python using the function?

In the Python Program, we can find the prime number between 1 and 100 using a function. This function uses a loop internally to find the prime number between 1 and 100.

What is the Python library for prime numbers?

The Python programming language includes the sympy library. In this library, we have the** ‘isPrime()**’ method for checking whether a number is prime or not. If this number is Prime, it will return true; otherwise, it will return false.

What is the most efficient way to find prime numbers in Python?

The most efficient way to find the prime number in Python using by algorithm like the Sieve of Eratosthenes or probabilistic prime

Are there any built-in functions in Python for finding prime numbers?

No, Python does not have a built-in function specifically for finding prime numbers. However, you can implement your own function using various algorithms.

Can a prime number be negative?

No, a Prime number must be a positive integer greater than 1 that has no positive divisors other than 1 and itself. A negative number cannot be considered a prime number.

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