Topology of Numbers · Problem 6.3.2

Representations by Quadratic Forms — Allen Hatcher

Mathematics — Number Theory · quadratic-forms-prime-representations

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