Python | sympy.primepi() method Last Updated : 26 Aug, 2019 Summarize Comments Improve Suggest changes Share Like Article Like Report With the help of sympy.primepi() method, we can find the number of prime numbers less than or equal to a given number. Syntax: primepi(n) Parameter: n - It denotes the number up to which the count of prime number is calculated. Returns: Returns the number of prime numbers less than or equal to n. Example #1: Python3 # import primepi() method from sympy from sympy import primepi n = 10 # Use primepi() method count_primes = primepi(n) print("The number of prime numbers less than or equal to {} is {}".format(n, count_primes)) Output: The number of prime numbers less than or equal to 10 is 4 Example #2: Python3 # import primepi() method from sympy from sympy import primepi n = 150 # Use primepi() method count_primes = primepi(n) print("The number of prime numbers less than or equal to {} is {}".format(n, count_primes)) Output: The number of prime numbers less than or equal to 150 is 35 Comment More infoAdvertise with us Next Article Python | sympy.primorial() method R rupesh_rao Follow Improve Article Tags : Python SymPy Practice Tags : python Similar Reads Python | sympy.prime() method With the help of sympy.prime() method, we can find the nth prime, with the primes indexed as prime(1) = 2, prime(2) = 3, etc. Syntax: prime(n) Parameter: n - It denotes the nth prime number. Returns: Returns the nth prime number. Example #1: Python3 # import sympy from sympy import prime n = 5 # Use 1 min read Python | sympy.primenu() method With the help of sympy.primenu() method, we can calculate the number of distinct prime factors for a given positive integer. Syntax: primenu(n) Parameter: n - It denotes an integer. Returns: Returns the number of distinct prime factors for the given positive integer. Example #1: Python3 # import pri 1 min read Python | sympy.primorial() method With the help of sympy.primorial() method, we can find the product of the first n primes (default) or the primes less than or equal to n (when nth=False), where n and nth are parameters to the method. Syntax: primorial(n, nth) Parameter: n - It denotes the number for which the product of first n pri 2 min read Python | sympy.primeomega() method With the help of sympy.primeomega() method, we can calculate the number of prime factors counting multiplicities for a given positive integer. For example, primeomega(12) = 3, since 12 = 22 * 31. Therefore, number of prime factors = sum of multiplicities of prime factors, 2 + 1 = 3. Syntax: primeome 1 min read Python | simpy.nextprime() method In the sympy module, we can get the next prime number for a given number n using sympy.nextprime() function. For n < 2^64 the answer is definitive; larger n values have a small probability of actually being pseudoprimes. Syntax: sympy.nextprime() Parameter: n; number to be tested Return: next pri 1 min read Python | sympy.prod() method With the help of sympy.prod() method, we can find the product of two integers or we can multiply the list with integers and it will return the sum of products in a list by using sympy.prod() method. Syntax : sympy.prod(val1, val2) Return : Return the product of numbers. Example #1 : In this example 1 min read Like