# A number theory problem by Christopher Boo

For any positive integer $$n$$, the following is true:

$$n$$ is divisible by $$1.$$
$$n(n+1)$$ is divisible by $$1\times 2.$$
$$n(n+1)(n+2)$$ is divisible by $$1\times 2\times 3.$$

Is it true that $$n(n+1)(n+2)(n+3)$$ must be divisible by $$1\times 2 \times 3\times 4?$$

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