Hatcher-Topology-of-Numbers · Problem 8.2.5

Quadratic Fields

Mathematics — Algebraic Topology · prime-factorization-quadratic-forms

Problem

Following the two examples at the end of this section, find primitive solutions of

x^2 + 18y^2 = 3^k

and of

2x^2 + 9y^2 = 3^k

for

k = 3, 4, 5, 6, 7, 8