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Table of Gaussian integer factorizations

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Gaussian integers may be categorized as 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 as listed in the OEIS.[1] Primes occur only for norms also tabulated in the OEIS,[2] and are tabulated in A103431[3] and A103432.[4]

Factorizations

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See also

References