Rationality and the Tangent Function
... Type 2: unit multiples of a + bi with N (a + bi) an ordinary prime. Primes a + bi of Type 1 have a or b equal to zero and primes of Type 2 have a and b both nonzero. Clearly, z = a + bi is a Gaussian prime iff its complex conjugate z = a − bi is as well. Indeed, z = uv iff z = u v. Conjugation preserv ...
... Type 2: unit multiples of a + bi with N (a + bi) an ordinary prime. Primes a + bi of Type 1 have a or b equal to zero and primes of Type 2 have a and b both nonzero. Clearly, z = a + bi is a Gaussian prime iff its complex conjugate z = a − bi is as well. Indeed, z = uv iff z = u v. Conjugation preserv ...
