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1. Let Z[i] denote the set of all ‘complex numbers with integer coefficients’:the set of all...

1. Let Z[i] denote the set of all ‘complex numbers with integer coefficients’:the set of all a + bi such that a and b are integers. We say that z is composite if there exist two complex integers v and w such that z=vw and |v|>1 and |w|>1. Then z is prime if it is not composite

A) Prove that every complex integer z, |z| > 1, can be expressed as a product of prime complex integers.

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