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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the rational sieve is a general algorithm for factoring integers into prime factors. It is essentially a special case of the general number field sieve, and while it is far less efficient than the general algorithm, it is conceptually far simpler. So while it is rather useless as a practical factoring algorithm, it is a helpful first step for those trying to understand how the general number field sieve works.

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the rational sieve is a general algorithm for factoring integers into prime factors. It is essentially a special case of the general number field sieve, and while it is far less efficient than the general algorithm, it is conceptually far simpler. So while it is rather useless as a practical factoring algorithm, it is a helpful first step for those trying to understand how the general number field sieve works.