Chapter 3, Problem 5P

Write a program that finds and prints all of the prime numbers between 3 and 100. A prime number is a number such that 1 and itself are the only numbers that evenly divide it (for example, 3, 5, 7, 11, 13, 17, …).

 One way to solve this problem is to use a doubly nested loop. The outer loop can iterate from 3 to 100 while the inner loop checks to see if the counter value for the outer loop is prime. One way to see if number n is prime is to loop from 2 to n 21 and if any of these numbers evenly divides n, then n cannot be prime. If none of the values from 2 to n 21 evenly divides n, then n must be prime. (Note that there are several easy ways to make this algorithm more efficient.)