[SC.LUG] Complex Factors Of Primes

[Roger Gibson]

I seem to remember this was an active field in the 90's, and 
specifically to use quaternion based algebra to weed out weak primes in 
encryption techniques, but I've not kept up with it.  I'm sure half an 
hour starting with Google will get closer to where we are at now.  Roger.

Frank Mitchell said the following on 13/05/2008 22:00:
> I'm surprised at you fellas:
>
> The whole point is that "i" or "j" is the Square Root of Minus One.
> Thus minus i squared equals Plus One. So:
>
> (2+i)*(2-i) = 4+1 = 5
>
> (3+2i)*(3-2i) = 9+4 =13
>
> Quaternions have 3 different square roots of -1, called i, j, k, and they too 
> have Complex Conjugates like Complex Numbers. The Imaginary Components i, j, k 
> then gave us the idea of Vectors. Divide two Vectors and you get a Quaternion.
>
> Faictz Ce Que Vouldras: Frank Mitchell
>
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