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arXiv · 1408.2608

A deterministic algorithm for integer factorization

Ghaith A. Hiary
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Abstract

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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Ghaith A. Hiary. 2014-08-12. A deterministic algorithm for integer factorization. https://arxiv.org/abs/1408.2608

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