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Imaginary prime number divisor

by thedragonbook
Tags: divisor, imaginary, number, prime
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thedragonbook
#1
Jun23-13, 06:17 PM
P: 24
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".
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Office_Shredder
#2
Jun23-13, 06:26 PM
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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
thedragonbook
#3
Jun23-13, 06:27 PM
P: 24
I don't mean the imaginary number "i". I meant to say some thing that is just an idea - an imagination.

micromass
#4
Jun23-13, 06:33 PM
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Imaginary prime number divisor

Quote Quote by thedragonbook View Post
I don't mean the imaginary number "i". I meant to say some thing that is just an idea - an imagination.
Well, then it's not math. Locked.


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