Question: Ifz is aGaussian integer and its norm N(z) is a prime in Z, prove that z is a Gaussian prime. (b) Prove that 7 +

Ifz is aGaussian integer and its norm N(z) is a prime in Z, prove that z is a Gaussian prime. (b) Prove that 7 + 2i is a Gaussian prime. (c) Factor 109into Gaussianprimes, andexplain whythefactors are Gaussian primes

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