# Function to check if a number is prime
def is_prime(n):
    if n <= 1:
        return False
    if n <= 3:
        return True
    if n % 2 == 0 or n % 3 == 0:
        return False
    i = 5
    while i * i <= n:
        if n % i == 0 or n % (i + 2) == 0:
            return False
        i += 6
    return True

# Function to generate and display prime numbers with 3 digits starting with 5
def generate_prime_numbers():
    prime_numbers = []
    for num in range(500, 600):
        if str(num)[0] == '5' and is_prime(num):
            prime_numbers.append(num)
    return prime_numbers

# Main function to execute the program
def main():
    prime_numbers = generate_prime_numbers()
    print("Prime numbers with 3 digits and starting with 5:")
    print(prime_numbers)

if __name__ == "__main__":
    main()