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Hatcher-Topology-of-Numbers
· Problem 8.1.6
Quadratic Fields
Mathematics — Algebraic Topology · gaussian-primes
Problem
Factor the following Gaussian integers into primes in
Z
[
i
]
\mathbb{Z}[i]
Z
[
i
]
:
3
+
5
i
3+5i
3
+
5
i
,
8
−
i
8-i
8
−
i
,
10
+
i
10+i
10
+
i
,
5
−
12
i
5-12i
5
−
12
i
,
35
i
35i
35
i
,
−
35
+
120
i
-35+120i
−
35
+
120
i
,
253
+
204
i
253+204i
253
+
204
i
.
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