Imaginary prime number divisor

  1. What would be the implications of assuming the existence of an imaginary number that can divide a prime number and is related to the number it is dividing? By imaginary I mean a number that is just in our imagination and not the imaginary number "i".
     
    Last edited: Jun 23, 2013
  2. jcsd
  3. Office_Shredder

    Office_Shredder 4,499
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    The question is a little weird. Does it have to be an imaginary number or can it be any complex number? For example 2 = (1+i)(1-i).


    The Gaussian integers which are all numbers of the form a+bi for a and by integers form a ring which can be used to deduce some interesting number theoretic facts, for example every prime equivalent to 1 mod 4 can be expressed as the sum of two squares

    http://en.wikipedia.org/wiki/Gaussian_integer
     
  4. I don't mean the imaginary number "i". I meant to say some thing that is just an idea - an imagination.
     
  5. micromass

    micromass 18,926
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    Well, then it's not math. Locked.
     
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