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About: Cipolla's algorithm     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatNumberTheoreticAlgorithmsyago:Abstraction100002137yago:Act100030358yago:Activity100407535yago:Algorithm105847438yago:Event100029378yago:Procedure101023820yago:PsychologicalFeature100023100yago:YagoPermanentlyLocatedEntityyago:Rule105846932 New Facet based on Instances of this Class

In computational number theory, Cipolla's algorithm is a technique for solving a congruence of the form where , so n is the square of x, and where is an odd prime. Here denotes the finite field with elements; . The algorithm is named after Michele Cipolla, an Italian mathematician who discovered it in 1907. Apart from prime moduli, Cipolla's algorithm is also able to take square roots modulo prime powers.