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## Homework Statement

Let n be a part of the natural numbers, with n>=2. Consider the numbers [n factorial +2 ], [n factorial + 3], ..., [n factorial + n].

Prove that none of them is prime, and deduce that there are arbitrarily long finite stretches of consecutive non-prime nummbers in the natural numbers.

## Homework Equations

## The Attempt at a Solution

I really don't know how to do this question. Any help/hints would be appreciated.