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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.

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  • 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. (en)
  • Алгоритм Чиполлы — это техника решения конгруэнтного уравнения вида где , так что n будет квадратом числа x, и где является нечётным простым числом. Здесь обозначает конечное поле с элементами . Алгоритм носит имя итальянского математика , открывшего метод в 1907. (ru)
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  • 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. (en)
  • Алгоритм Чиполлы — это техника решения конгруэнтного уравнения вида где , так что n будет квадратом числа x, и где является нечётным простым числом. Здесь обозначает конечное поле с элементами . Алгоритм носит имя итальянского математика , открывшего метод в 1907. (ru)
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  • Cipolla's algorithm (en)
  • Алгоритм Чиполлы (ru)
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