Gaussian Prime

Gaussian primes are Gaussian Integers for which the norm is Prime or,if , is a Prime Integer such that . The above plot of the Complex Plane shows theGaussian primes as filled squares. The Gaussian primes with are given by , , , ,, , , , , , , , , , , , , , ,, , , , , , , , , , , , , , , ,, , , , , , , , , , , , .

References

Guy, R. K. ``Gaussian Primes. Eisenstein-Jacobi Primes.'' §A16 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 33-36, 1994.

Wagon, S. ``Gaussian Primes.'' §9.4 in Mathematica in Action. New York: W. H. Freeman, pp. 298-303, 1991.

• Rooks Problem
• Room Square
• Root
• Root Dragging Theorem
• Rooted Tree
• Root Linear Coefficient Theorem
• Root-Mean-Square
• Root of Unity
• Root (Radical)
• Root Test
• Root (Tree)
• Rosatti's Theorem
• Rose
• Rosenbrock Methods
• Rotation
• Rotation Formula
• Rotation Group
• Rotation Matrix
• Rotation Number
• Rotation Operator
• Roth's Removal Rule
• Roth's Theorem
• Rotkiewicz Theorem
• Rotoinversion
• Rotor