Between $$89$$ and $$97$$, both of which are prime numbers, there are $$7$$ composite numbers. They are: $$90, 91, 92, 93, 94, 95, 96$$
Numbers Factors
$$90, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90$$
$$91, 1, 7, 13, 91$$
$$92, 1, 2, 4, 23, 46, 92$$
$$93, 1, 3, 31, 93$$
$$94, 1, 2, 47, 95$$
$$95, 1, 5, 19, 95$$
$$96, 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96$$.