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arxiv: physics/0503159 · v3 · submitted 2005-03-18 · ⚛️ physics.gen-ph

Fast Factoring of Integers

classification ⚛️ physics.gen-ph
keywords algorithmapproximatelydigitsexponentialexponentiallyfactorfactoringfast
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An algorithm is given to factor an integer with $N$ digits in $\ln^m N$ steps, with $m$ approximately 4 or 5. Textbook quadratic sieve methods are exponentially slower. An improvement with the aid of an a particular function would provide a further exponential speedup.

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