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Homework Help: Prove primes based on associates

  1. Jan 18, 2010 #1
    1. The problem statement, all variables and given/known data

    Suppose that a and b are associates. Prove that if a is a prime number then b is a prime number.

    2. Relevant equations

    Associates are two numbers that are exactly equal when the abs(a) = abs(b). Or, re-write as a=ub where u is a unit.

    3. The attempt at a solution

    Basically started with trying to use the fact that the absolute values of the two numbers had to be the same. If that is the case, then the numbers are related and therefore b is a prime.

    This just seems like I'm missing a step or two. I don't have anything to really tie it together.
  2. jcsd
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