
#1
Jun2313, 06:17 PM

P: 14

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".




#2
Jun2313, 06:26 PM

Mentor
P: 4,499

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)(1i).
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 



#3
Jun2313, 06:27 PM

P: 14

I don't mean the imaginary number "i". I meant to say some thing that is just an idea  an imagination.



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