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 ï¿½i.

### 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.