someone to help me with this

factorise 5550 fully in

1) the integers

2) the Gaussian integers?????????

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- Aug 8th 2009, 06:52 AMgeo2integers
someone to help me with this

factorise 5550 fully in

1) the integers

2) the Gaussian integers????????? - Aug 8th 2009, 07:56 AMOpalg
I assume you can do 1). (Wink)

For 2), you need to know that if p is an integer prime of the form 4k+3 then it is also a Gaussian prime. If it is of the form 4k+1 then it is always possible to express it as a sum of two squares, . Then p factorises in the Gaussian integers as , and those factors are both Gaussian primes. Finally, 2 factorises in the same way, .

So for example 11 is a Gaussian prime, but .