What are the composite numbers between 89 and 97?

These steps can reduce our work:

First of all we will write all the even numbers between 89 and 97: 90, 92, 94 & 96.

Then multiples of 5: 90 & 95.

Multiples of 3: 90, 93 & 96 and also the multiple of 7 which is 91.

There is no other number left between 89 & 97.

Therefore, numbers between 89 & 97 are all composite numbers.