KnowraGaussian integerLinked fromLinked fromThe 15 pages that link to Gaussian integer, each with the reason it gives.All 15Broader topic 9Related 6Quotient ringRelated: Quotients of this ring illustrate how ideals encode arithmetic information.Pythagorean tripleRelated: Factoring sums of two squares in Gaussian integers clarifies the arithmetic behind primitive triples.Unique factorizationRelated: They retain unique factorization despite allowing factors absent from the ordinary integers.Sum of two squares theoremRelated: Unique factorization in ℤ[i] explains why primes congruent to 1 modulo 4 split into two squares.Fermat's right triangle theoremRelated: Factoring sums of squares in this ring provides an algebraic route to parametrizing right triangles.Friedlander–Iwaniec theoremRelated: The sum-of-squares component connects prime representation questions to arithmetic in Gaussian integers.