The list on the left shows the prime numbers in order of highest to lowest. The list on the right shows the prime numbers in order of lowest to highest. You can use these 2 lists to see the latest generated number and a still list of all of the numbers generated so far.
A prime number is a number with only 2 factors, the least amount of factors a number can have. The generator works by checking the amount of factors a number has, if the amount of factors = 2 then it is a prime number and will be added to the list, if it does not the number will be discarded. The numbers will generate slower over time because it has to check more factors per number. ex. 6 has 4 factors (1, 2, 3 and 6). But 1000 has 16 factors! Every number has these 2 factors: 1, and itself. So if it has only 2 factors it's definitely prime.