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1969 AMC 12 Question 23

AMC12 · 1969 AMC 12

Question 23

For any integer $n$ greater than $1,$ the number of prime numbers greater than $n!+1$ and less than $n!+n$ is:

Here $n!=1\cdot2\cdots(n-1)n.$
  1. $0$
  2. $1$
  3. $\dfrac n2$ for $n$ even, $\dfrac{n+1}{2}$ for $n$
    odd
  4. $n-1$
  5. $n$