Abstract
Let Q(x) = Q(x(1), x(2),..., x(n)) be a binary quadratic form with integer coefficients. Let Delta=Delta(Q) be the discriminant of a binary quadratic form Q. In this paper, we connect the factoring of prime numbers in quadratic fields with reduction of binary quadratic forms and give an algorithm for determining whether p = x(2) + my(2) has a solution in special cases.