Direct and inverse factorization algorithms of numbers
Articles
Grigorijus Melničenko
Vytautas Magnus University
Published 2019-12-05
https://doi.org/10.15388/LMR.B.2019.15234
PDF (Lithuanian)

Keywords

prime numbers
trial division
Fermats factorization algorithm

How to Cite

Melničenko, G. (2019) “Direct and inverse factorization algorithms of numbers”, Lietuvos matematikos rinkinys, 60(B), pp. 39–45. doi:10.15388/LMR.B.2019.15234.

Abstract

The factoring natural numbers into factors is a complex computational task. The complexity of solving this problem lies at the heart of RSA security, one of the most famous cryptographic methods. The classical trial division algorithm divides a given number N into all divisors, starting from 2 and to integer part of N. Therefore, this algorithm can be called the direct trial division algorithm. We present the inverse trial division algorithm, which divides a given number N into all divisors,
starting from the integer part of √N to 2.

 

PDF (Lithuanian)

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