Hatcher-Topology-of-Numbers · Problem 6.3.2

Representations by Quadratic Forms

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

Problem

Determine which primes are represented by each of the following forms: (a)

x^2 + 8y^2

(b)

x^2 + 9y^2

(c)

x^2 + 25y^2

(d)

x^2 - 12y^2

and

12x^2 - y^2