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Show logical notation for being prime

  1. Feb 8, 2013 #1
    1. The problem statement, all variables and given/known data
    Show logical notation for being prime given N=(P1, P2,....Pn) +1

    2. Relevant equations

    3. The attempt at a solution
    I came up with the following, but im not sure if it makes sense (I used trial division)
    ([itex]\exists[/itex]x=((Pn+1)/((M>1)[itex]\wedge[/itex](M[itex]\leq[/itex]√(Pn+1))))[itex]\in[/itex][itex]N[/itex]) => (Pn+1 [itex]\neg[/itex]=Prime number)

    If there exists a number Pn+1 divided by a number M greater than 1 and less than the squareroot of Pn plus 1 contained in a set of integers then Pn +1 is not a prime number.
  2. jcsd
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