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About: Table of Gaussian integer factorizations     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatComplexNumbersyago:WikicatMathematicalTablesyago:Abstraction100002137yago:Arrangement107938773yago:Array107939382yago:ComplexNumber113729428yago:DefiniteQuantity113576101yago:Group100031264yago:Measure100033615yago:Number113582013yago:Table108266235 New Facet based on Instances of this Class

A Gaussian integer is either the zero, one of the four units (±1, ±i), a Gaussian prime or composite. The article is a table of Gaussian Integers x + iy followed either by an explicit factorization or followed by the label (p) if the integer is a Gaussian prime. The factorizations take the form of an optional unit multiplied by integer powers of Gaussian primes. Note that there are rational primes which are not Gaussian primes. A simple example is the rational prime 5, which is factored as 5=(2+i)(2−i) in the table, and therefore not a Gaussian prime.