The numbers between 89 and 97 are: 90, 91, 92, 93, 94, 95, 96. All even numbers greater than 2 are composite. All numbers greater than 5 are divisible by 5 are composite. 93 is divisible by 3, so that only leaves 91 as a prime number. The composite numbers are 90, 92, 93, 94, 95, 96.