prime(n): If n <= 1, return False. If n <= 3, return True. If n%2 == 0 or n%3 == 0, return False. Iterate from i = 5 to the sqrt(n): If n%i == 0 or (n+2)% == 0, return False. If none, return True. find_prime_numbers(): Store prime numbers in a list. Iterate over numbers from 500 to 600 -exclusive-: If the first digit of the number is '5' and the number is prime, add it to the list. Return the list.