1. (a) List all prime numbers between 2 and 100. Use the fact that a composite integer n must have a prime factor n to limit the search. Thus, a number < 100 is prime if and only if it is not a factor of {2, 3, 5, 7). Other useful facts: An integer is divisible by 3 if and only if sum of its digits are divisible by 3. An integer is divisible by 5 if and only if it ends with a 5. (b) How many prime numbers are there in your list in the range 2 to 100?