Suppose you were asked to generate a list of all of the prime numbers that are less

than $1000.(4$ points each$)$

a$.$ If the list was in order from smallest to largest, the first seven numbers on the

list would be $\_\_\_\_,\_\_\_\_,\_\_\_\_,\_\_\_\_,\_\_\_\_,\_\_\_\_,$ and $\_\_\_\_.$

b$.$ If you used the sieve of Eratosthenes to create the whole list, explain how you

would know when to stop. $($You don$$t need to create the list.$)$