Fundamental Discriminant

$-D$ is a fundamental discriminant if $D$ is a Positive Integer which is not Divisible by any square of an Odd Prime and which satisfies $D\equiv 3\ \left({{\rm mod\ } {4}}\right)$ or $D\equiv 4, 8\ \left({{\rm mod\ } {16}}\right)$.

See also Discriminant

References

Atkin, A. O. L. and Morain, F. ``Elliptic Curves and Primality Proving.'' Math. Comput. 61, 29-68, 1993.

Borwein, J. M. and Borwein, P. B. Pi & the AGM: A Study in Analytic Number Theory and Computational Complexity. New York: Wiley, p. 294, 1987.

Cohn, H. Advanced Number Theory. New York: Dover, 1980.

Dickson, L. E. History of the Theory of Numbers, Vols. 1-3. New York: Chelsea, 1952.