Python sympy | sieve.totientrange() method

With the help of sympy.sieve.totientrange() method, we can generate all totient numbers for a given range [a, b). It returns a type generator object which can be converted to a list for further operations.

Syntax: sieve.totientrange(a, b)
Parameters:
a – It denotes the start of the range. It is inclusive.
b – It denotes the end of the range. It is not inclusive.
Returns: The method returns a type generator object.

Example #1:

# import sympy
from sympy import sieve

# Use sieve.totientrange() method
totient_gen = sieve.totientrange(1, 10)
totient_list = list(totient_gen)

print("Totient numbers for the range of numbers [1, 10) : {}".format(totient_list))

Output:

Totient numbers for the range of numbers [1, 10) : [1, 1, 2, 2, 4, 2, 6, 4, 6]

Example #2:

# import sympy
from sympy import sieve

# Use sieve.totientrange() method
totient_gen = sieve.totientrange(8, 20)
totient_list = list(totient_gen)

print("Totient numbers for the range of numbers [8, 20) : {}".format(totient_list))

Output:

Totient numbers for the range of numbers [8, 20) : [4, 6, 4, 10, 4, 12, 6, 8, 8, 16, 6, 18]