# Factorial factors

How many integers $$n$$ are there such that $$2\leq n\leq 100$$, and $$(n-1)!$$ is not divisible by $$n$$?

Details and Assumptions:

• The number $$n!$$, read as n factorial, is equal to the product of all positive integers less than or equal to $$n$$. For example, $$7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1$$.
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