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 Skip Navigation LinksMath Help > Sets, Set theory, Number systems > Number systems > Gaussian Integers

Gaussian integers are complex numbers whose real and imaginary parts are integers. . . . . . .

Gaussian integers are members of the imaginary quadratic field Q(sqrt(-1))

Gaussian integers form a ring, denoted Z[i]

Gaussian integers can be uniquely factored in terms of other Gaussian integers (known as Gaussian primes) up to powers of i and rearrangements.

The units of Z[i] are ±1 and �i.

 

Internet references

Wikipedia: Gaussian integer

Mathworld: Gaussian Integer, Imaginary Quadratic Field

Fact Archive: Gaussian integer

Related pages in this website

Complex numbers

Eisenstein integers

Quadratic field


The webmaster and author of this Math Help site is Graeme McRae.