Table of Gaussian integer factorizations

Gaussian integers may be categorized as zero, the four units, Gaussian primes and composites. This is a list of Gaussian Integers x + iy in the first quadrant followed either by an equal sign and an explicit factorization or followed by a label (p) for primes. The factorizations take the form of an optional unit multiplied by integer powers of Gaussian primes. They are usually not unique in the sense that the unit could be absorbed into any other factor with exponent equal to one.

The entries are sorted according to increasing norm x² + y² (sequence A001481 in the OEIS). Primes occur only for a restricted subset of norms, see OEIS: A055025OEIS: A103431OEIS: A103432.

Factorizations

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See also

• Table of divisors
• Integer factorization

References

Dresden, Greg; Dymacek, Wayne (2005). "Finding factors of factor rings over the Gaussian integers". American Mathematical Monthly,. 112 (7): 602–611. MR 2158894.{{cite journal}}: CS1 maint: extra punctuation (link)

External links

• Weisstein, Eric W. "Gaussian prime". MathWorld.
• Weisstein, Eric W. "Prime Factorization". MathWorld.
• OEIS: Gaussian Primes