Topology of Numbers · Problem 8.1.5

Quadratic Fields — Allen Hatcher

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

Problem

Make a list of all the Gaussian primes

x + yi

with

-7 \leq x \leq 7

and

-7 \leq y \leq 7

. (The only actual work here is to figure out the primes

x + yi

with

0 \leq y \leq x \leq 7

since the rest are obtainable from these by symmetry properties.)