Function get_primes_between

maths/primelib.py:587–645

input: prime numbers 'pNumber1' and 'pNumber2' pNumber1 < pNumber2 returns a list of all prime numbers between 'pNumber1' (exclusive) and 'pNumber2' (exclusive) >>> get_primes_between(3, 67) [5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61]

(p_number_1, p_number_2)

def get_primes_between(p_number_1, p_number_2):
    """
    input: prime numbers 'pNumber1' and 'pNumber2'
            pNumber1 < pNumber2
    returns a list of all prime numbers between 'pNumber1' (exclusive)
            and 'pNumber2' (exclusive)

    >>> get_primes_between(3, 67)
    [5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61]
    >>> get_primes_between(0)
    Traceback (most recent call last):
        ...
    TypeError: get_primes_between() missing 1 required positional argument: 'p_number_2'
    >>> get_primes_between(0, 1)
    Traceback (most recent call last):
        ...
    AssertionError: The arguments must been prime numbers and 'pNumber1' < 'pNumber2'
    >>> get_primes_between(-1, 3)
    Traceback (most recent call last):
        ...
    AssertionError: 'number' must been an int and positive
    >>> get_primes_between("test","test")
    Traceback (most recent call last):
        ...
    AssertionError: 'number' must been an int and positive
    """

    # precondition
    assert (
        is_prime(p_number_1) and is_prime(p_number_2) and (p_number_1 < p_number_2)
    ), "The arguments must been prime numbers and 'pNumber1' < 'pNumber2'"

    number = p_number_1 + 1  # jump to the next number

    ans = []  # this list will be returns.

    # if number is not prime then
    # fetch the next prime number.
    while not is_prime(number):
        number += 1

    while number < p_number_2:
        ans.append(number)

        number += 1

        # fetch the next prime number.
        while not is_prime(number):
            number += 1

    # precondition
    assert (
        isinstance(ans, list)
        and ans[0] != p_number_1
        and ans[len(ans) - 1] != p_number_2
    ), "'ans' must been a list without the arguments"

    # 'ans' contains not 'pNumber1' and 'pNumber2' !