Primes of the Form x2 + dy2 in Some Certain Quadratic Fields

DOI: 10.5176/2251-3388_1.1.3

Authors: Sarat Sinlapavongsa and Ajchara Harnchoowong

Abstract:

This paper gives criteria to determine whethera prime in Q(pn) can be represented in the form x2+dy2under some certain conditions.

Keywords: prime, quadratic field, biquadratic field