Topology of Numbers · Problem 8.1.6

Quadratic Fields — Allen Hatcher

Mathematics — Number Theory · prime-factorization-quadratic-fields

Problem

Factor the following Gaussian integers into primes in Z[i]\mathbb{Z}[i]: 3+5i3 + 5i, 8−i8 - i, 10+i10 + i, 5−12i5 - 12i, 35i35i, −35+120i-35 + 120i, 253+204i253 + 204i.

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