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arXiv · 1903.12449

Multiplication method for factoring natural numbers

Igor Nesiolovskiy·Artem Nesiolovskiy
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Abstract

We offer multiplication method for factoring big natural numbers which extends the group of the Fermat's and Lehman's factorization algorithms and has run-time complexity $O(n^{1/3})$. This paper is argued the finiteness of proposed algorithm depending on the value of the factorizable number n. We provide here comparative tests results of related algorithms on a large amount of computational checks. We describe identified advantages of the proposed algorithm over others. The possibilities of algorithm optimization for reducing the complexity of factorization are also shown here.

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Igor Nesiolovskiy, Artem Nesiolovskiy. 2019-03-29. Multiplication method for factoring natural numbers. https://arxiv.org/abs/1903.12449

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