We already know that prime numbers can only divided fully by themselves or just 1 and because of that characteristic treat of prime numbers we can make a loop about checking all the numbers that divides a specific number between 500 and 600 and see if it is a prime number or not.

listofnums = list of numbers from 500 to 599

for each num in listofnums:
    for each i in numbers from 2 to num - 1:
        if num is divisible evenly by i:
            exit the loop
    else:
        num is a prime number, print it