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Express through basic quantifiers on the given domain:

  1. Jan 30, 2013 #1
    1. The problem statement, all variables and given/known data
    x is square free (not divisible by a perfect square) on Z


    2. Relevant equations
    Z meaning all integers.


    3. The attempt at a solution
    I did a similar problem earlier that asked for the expression for prime numbers on the Natural numbers domain. For that problem the product of a*b with a,b >1 never equaled a prime number. So for this problem I believe that all of the prime numbers are included in the square free I'm just not sure how to integrate this.
     
  2. jcsd
  3. Jan 30, 2013 #2

    HallsofIvy

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    What's wrong with the obvious, "For all y in Z, y2 does not divide x"?
     
  4. Jan 30, 2013 #3
    I think it works but what about 1

    1 squared does divide the square free 1
     
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