Python sympy | sieve.mobiusrange() method

With the help of sympy.sieve.mobiusrange() method, we can generate the mobius 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.mobiusrange(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.mobiusrange() method
mobius_gen = sieve.mobiusrange(1, 10)
mobius_list = list(mobius_gen)

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

Output:

Mobius numbers for the range of numbers [1, 10) : [1, -1, -1, 0, -1, 1, -1, 0, 0]

Example #2:

# import sympy
from sympy import sieve

# Use sieve.mobiusrange() method
mobius_gen = sieve.mobiusrange(8, 20)
mobius_list = list(mobius_gen)

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

Output:

Mobius numbers for the range of numbers [8, 20) : [0, 0, 1, -1, 0, -1, 1, 1, 0, -1, 0, -1]