# 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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source and credits.

source and credits: http://www.geeksforgeeks.org

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