Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Hatcher-Topology-of-Numbers
· Problem 8.1.5
Quadratic Fields
Mathematics — Algebraic Topology · gaussian-primes
Problem
Make a list of all the Gaussian primes
x
+
y
i
x + yi
x
+
y
i
with
−
7
≤
x
≤
7
-7 \leq x \leq 7
−
7
≤
x
≤
7
and
−
7
≤
y
≤
7
-7 \leq y \leq 7
−
7
≤
y
≤
7
. (The only actual work here is to figure out the primes
x
+
y
i
x + yi
x
+
y
i
with
0
≤
y
≤
x
≤
7
0 \leq y \leq x \leq 7
0
≤
y
≤
x
≤
7
since the rest are obtainable from these by symmetry properties.)
Browse the problem library