Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Imaginary prime number divisor

  1. Jun 23, 2013 #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. Jun 23, 2013 #2

    Office_Shredder

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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. Jun 23, 2013 #3
    I don't mean the imaginary number "i". I meant to say some thing that is just an idea - an imagination.
     
  5. Jun 23, 2013 #4

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    Insights Author

    Well, then it's not math. Locked.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Imaginary prime number divisor
  1. Imaginary Numbers (Replies: 4)

  2. Imaginary Numbers (Replies: 14)

Loading...