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arxiv: 1408.2608 · v3 · pith:TB2LRUICnew · submitted 2014-08-12 · 🧮 math.NT

A deterministic algorithm for integer factorization

classification 🧮 math.NT
keywords algorithmintegerdeterministicdivisibilitydivisionfactoringfactorizationimplemented
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A deterministic algorithm for factoring $n$ using $n^{1/3+o(1)}$ bit operations is presented. The algorithm tests the divisibility of $n$ by all the integers in a short interval at once, rather than integer by integer as in trial division. The algorithm is implemented.

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