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solution.py

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#!usr/bin python3

def is_prime(x: int) -> bool:
    """Checks if the supplied number is prime. Returns True if prime, else otherwise.
    :param x: The number to check
    """
    if x <= 1:  # 1 is always a prime
        return True
    
    for y in range(2, x):  # iterate through all the numbers to see if the number is divisible
        if not x % y:  # divisible by numbers other than 1, self hence not prime
            return False
    
    return True  # no divisors found, hence prime

# Getting interger input and storing in x
x = int(input('Enter the value of number X: '))

# call to the function is_prime to check if x is prime
if not is_prime(x):  # if not prime, finding all factors
    factors = []
    for val in range(2, x):  # iterate through numbers and see which one divides the value X
        if not x % val:  # divisible.
            factors.append(str(val))  # add to list of factors
    print('Number is not prime. Factors of number %s are: ' % str(x) + ', '.join(factors))  # print the values
else:
    print('The number %s is a prime number' % str(x))  # print that it's not prime
    
print('Printing the value of function y = 8x^2 + 1')

for val in range(x-5, x+5):  # iterate through x-5 to x+5. Calculate the function value with simple arithmetic.
    print('for value: %s, Function y = %s' % (str(val), str(8 * (x**2) + 1)))