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.

• Perkins' Quilt
• Perko Pair
• Permanence of Algebraic Form
• Permanence of Mathematical Relations Principle
• Permanent
• Permil
• Permutation
• Permutation Group
• Permutation Matrix
• Permutation Pseudotensor
• Permutation Symbol
• Permutation Tensor
• Peron Integral
• Perpendicular
• Perpendicular Bisector
• Perpendicular Foot
• Perrin Pseudoprime
• Perrin Sequence
• Perron-Frobenius Operator
• Perron-Frobenius Theorem
• Perron's Theorem
• Persistence
• Persistent Number
• Persistent Process
• Perspective