Primes With Complex Factors

Lee Brotherston lee at nerds.org.uk
Sun May 11 20:42:27 BST 2008


On Sun, May 11, 2008 at 08:12:07PM +0100, Frank Shute wrote:
> Lee, I made your maths wrong:

Ah yes, damn those -'s (not having the best day).  Like you say I'd
like to see some other numbers


> (1+i)(1-i)=2
> 
> expanding LHS:
> 
> 1 + i - i - (i)^2 = 2
> 
> simplifying LHS:
> 
> 1 - (i)^2 = 2
> 
> since (i)^2 = -1:
> 
> 1 - (-1) = 2

I'm still not sure where this step came from though.  If i^2 = -1 then
i will presumably be the square root of -1, and there are no square
roots of negative figures, if memory serves.


> I'd like to see some higher primes than 2 factored with complex
> numbers. Two's a bit of a special case (only even prime) and small.

Yeah - it would be interesting.

Thanks

  Lee

-- 
Lee Brotherston - <lee at nerds.org.uk>




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