Prove that if x is a nontrivial square root of 1, modulo n, then gcd (x 1,

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Prove that if x is a nontrivial square root of 1, modulo n, then gcd (x –1, n) and gcd (x + 1, n) are both nontrivial divisors of n.

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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