i) Use the Euclidean algorithm to find gcd(7 – 1li, 18 – i) = 109 and N(B) = 113, ii) Given two Gaussian integers a and B with norms N(a) find gcd(a, B). You must fully justify your answer. iii) Which...

i) Use the Euclidean algorithm to find gcd(7 – 1li, 18 – i)<br>= 109 and N(B) = 113,<br>ii) Given two Gaussian integers a and B with norms N(a)<br>find gcd(a, B). You must fully justify your answer.<br>iii) Which of the following Gaussian integers are Gaussian primes?<br>а. 11i;<br>b. -29i;<br>c. 4+ 3i<br>d. 5+ 4i<br>You must fully justify your answers.<br>

Extracted text: i) Use the Euclidean algorithm to find gcd(7 – 1li, 18 – i) = 109 and N(B) = 113, ii) Given two Gaussian integers a and B with norms N(a) find gcd(a, B). You must fully justify your answer. iii) Which of the following Gaussian integers are Gaussian primes? а. 11i; b. -29i; c. 4+ 3i d. 5+ 4i You must fully justify your answers.

Jun 04, 2022

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i) Use the Euclidean algorithm to find gcd(7 – 1li, 18 – i) = 109 and N(B) = 113, ii) Given two Gaussian integers a and B with norms N(a) find gcd(a, B). You must fully justify your answer. iii) Which...

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