Function liouville_lambda

maths/liouville_lambda.py:14–40

This functions takes an integer number as input. returns 1 if n has even number of prime factors and -1 otherwise. >>> liouville_lambda(10) 1 >>> liouville_lambda(11) -1 >>> liouville_lambda(0) Traceback (most recent call last): ... ValueError: Input must

(number: int)

def liouville_lambda(number: int) -> int:
    """
    This functions takes an integer number as input.
    returns 1 if n has even number of prime factors and -1 otherwise.
    >>> liouville_lambda(10)
    1
    >>> liouville_lambda(11)
    -1
    >>> liouville_lambda(0)
    Traceback (most recent call last):
        ...
    ValueError: Input must be a positive integer
    >>> liouville_lambda(-1)
    Traceback (most recent call last):
        ...
    ValueError: Input must be a positive integer
    >>> liouville_lambda(11.0)
    Traceback (most recent call last):
        ...
    TypeError: Input value of [number=11.0] must be an integer
    """
    if not isinstance(number, int):
        msg = f"Input value of [number={number}] must be an integer"
        raise TypeError(msg)
    if number < 1:
        raise ValueError("Input must be a positive integer")
    return -1 if len(prime_factors(number)) % 2 else 1


if __name__ == "__main__":