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Let p an odd prime, show that either p == 1 mod 4 or p == 3 mod 4.
Show that no prime of the form 4n + 3 can be written as a2 + b2 for some integers a and b.
Show that 17 is not prime in J[i], by finding a factorization of it.
Find the common greatest divisor between 3 + 4i and 4 - 3i.

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This solution shows how to solve the given problem involving odd primes.

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