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Question 0
Write a=bq+r with N(r)<N(b), q,r  Gaussian integers for
a=48+27i, b=1+2i
Question 1
Why doesn't this equality contradict uniqueness of factorization to prime factors in Gaussian integers?
Question 2
Factor 65 as a product of Gaussian primes
Question 3
Use uniqueness of factorization in Gaussian integers to show that there are no integer solutions of
with even y.
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Write a=bq+r with N(r)<N(b), q,r  Gaussian integers for
a=48+27i, b=1+2i
Question 1
Why doesn't this equality contradict uniqueness of factorization to prime factors in Gaussian integers?
Question 2
Factor 65 as a product of Gaussian primes
Question 3
Use uniqueness of factorization in Gaussian integers to show that there are no integer solutions of
with even y.