Function is_germain_prime

maths/germain_primes.py:14–38

Checks if input number and 2*number + 1 are prime. >>> is_germain_prime(3) True >>> is_germain_prime(11) True >>> is_germain_prime(4) False >>> is_germain_prime(23) True >>> is_germain_prime(13) False >>> is_germain_prime(20) False >>> is_germain_

(number: int)

def is_germain_prime(number: int) -> bool:
    """Checks if input number and 2*number + 1 are prime.

    >>> is_germain_prime(3)
    True
    >>> is_germain_prime(11)
    True
    >>> is_germain_prime(4)
    False
    >>> is_germain_prime(23)
    True
    >>> is_germain_prime(13)
    False
    >>> is_germain_prime(20)
    False
    >>> is_germain_prime('abc')
    Traceback (most recent call last):
        ...
    TypeError: Input value must be a positive integer. Input value: abc
    """
    if not isinstance(number, int) or number < 1:
        msg = f"Input value must be a positive integer. Input value: {number}"
        raise TypeError(msg)

    return is_prime(number) and is_prime(2 * number + 1)


def is_safe_prime(number: int) -> bool: