National University Research Council
Representations of primes by simple quadratic forms, such as ±a 2±qb2 , is a subject that goes back to Fermat, Lagrange, Legendre, Euler, Gauss and many others. We are interested in a comprehensive list of such results, for q ≤ 20. Some of the results can be established with elementary methods and we exemplify that in some instances. We are introducing new relationships between various representations.
Ionascu, Eugen J., "Primes of the form _a2_qb2" (2013). Faculty Bibliography. 932.