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 primes or prime less than or equal to n is calculated.
nth – It denotes a boolean value. When True, it returns the product of first n primes whereas when False returns the product of primes less than or equal to n.

Returns: Returns the product of the first n primes or the primes less than or equal to n .

Example #1:

# import primorial() method from sympy
from sympy import primorial

n = 3

# Use primorial() method
primorial_n = primorial(n) # 2 * 3 * 5

print("The product of first {} primes is {}".format(n, primorial_n))

Output:

The product of first 3 primes is 30

Example #2:

# import primorial() method from sympy
from sympy import primorial

n = 10

# Use primorial() method
primorial_n = primorial(n, nth = False) # 2 * 3 * 5 * 7

print("The product of primes less than or equal to {} is {}".format(n, primorial_n))

Output:

The product of primes less than or equal to 10 is 210