# Prime functions in Python SymPy

How to get prime numbers quickly in python using library functions ?

Library functions always makes our code easy so here we are going to discuss some library function in python to work upon prime numbers. **SymPy** is a python module which contains some really cool prime number related library functions. Given below is the list of these functions :

**isprime(n) :**It tests if n is a prime number (True) or not (False).**primerange(a, b) :**It generates a list of all prime numbers in the range [a, b).**randprime(a, b) :**It returns a random prime number in the range [a, b).**primepi(n) :**It returns the number of prime numbers less than or equal to n.**prime(nth) :**It returns the nth prime, with the primes indexed as prime(1) = 2. The nth prime is approximately n*log(n) and can never be larger than 2**n.**prevprime(n) :**It returns the prev prime smaller than n.**nextprime(n) :**It returns the next greater prime than n.**sieve.primerange(a, b) :**It generates all prime numbers in the range [a, b), implemented as a dynamically growing sieve of Eratosthenes.

`# Library functions for prime ` `import` `sympy ` ` ` `# Output : True ` `print` `sympy.isprime(` `5` `) ` ` ` `# Output : [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] ` `print` `list` `(sympy.primerange(` `0` `, ` `100` `)) ` ` ` `print` `sympy.randprime(` `0` `, ` `100` `) ` `# Output : 83 ` `print` `sympy.randprime(` `0` `, ` `100` `) ` `# Output : 41 ` `print` `sympy.prime(` `3` `) ` `# Output : 5 ` `print` `sympy.prevprime(` `50` `) ` `# Output : 47 ` `print` `sympy.nextprime(` `50` `) ` `# Output : 53 ` ` ` `# Output : [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] ` `print` `list` `(sympy.sieve.primerange(` `0` `, ` `100` `)) ` |

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**Reference :**

https://stackoverflow.com/questions/13326673/is-there-a-python-library-to-list-primes

This article is contributed by **Shashank Mishra (Gullu)**. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

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