- #1

Black Orpheus

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**1. Here is the problem I'm stuck on:**

Let q be a positive integer, q is greater than or equal to 2, let a and b be integers such that if q divides ab, then q divides a or q divides b. Show that q is a prime number.

Let q be a positive integer, q is greater than or equal to 2, let a and b be integers such that if q divides ab, then q divides a or q divides b. Show that q is a prime number.

**2. I know that q is prime if and only if 1 divides q and q divides q.**

**3. I don't really know where to begin. Where might I go from here?**