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Integer Factorization Using Hadoop

2011 IEEE Third International Conference on Cloud Computing Technology and Science, 2011
Integer factorization is an interesting but a hard problem and stays at the core of many security mechanisms. Conventional approaches to factor big integer numbers often require powerful computers and a great effort in software development. In this paper, we present a different approach to this problem by running the quadratic sieve algorithm in the ...
Son Thanh Nguyen   +3 more
openaire   +1 more source

Factoring medium-sized integers

Comput. J., 1984
In this short note factoring algorithms are compared to see how they behave for ``medium sized'' integers, i.e. between 14 and 20 digits. The conclusion is that after removing small factors by trial division and having used a probabilistic primality test, one should use the continued fraction algorithm. No details are given.
R. J. Macmillan, James H. Davenport
openaire   +1 more source

On the oracle complexity of factoring integers

Computational Complexity, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Factors of a Square-Free Integer

Canadian Mathematical Bulletin, 1968
This note is concerned with the number C(n) of ordered non-trivial factorizations of an integer n in the special case where n is square free. If F (m) denotes C(p1…Pm) where pi. are distinct primes, it is shown thatand that
openaire   +2 more sources

On the number of prime factors of integers

The science reports of the Kanazawa University=金沢大学理科報告, 1969
Not ...
Eda, Yoshikazu, Yamano, Gosuke
openaire   +2 more sources

Factorization of Integers

International Journal of Mathematics Trends and Technology
Considering the breakthrough that happened recently in math, which established the condition for primality versus composite numbers, the decomposition of large numbers has been put to rest. To fully comprehend factorization of integers, this paper presents this issue with regard to the area of cryptography.
openaire   +1 more source

Factorization of Perplex Integers

The American Mathematical Monthly, 2022
openaire   +1 more source

RSA cryptanalysis — Fermat factorization exact bound and the role of integer sequences in factorization problem

Journal of Information Security and Applications, 2023
Ahmed S Shatnawi   +2 more
exaly  

A Method of Integer Factorization

Communications in Computer and Information Science, 2021
exaly  

Factorization of Integer-Valued Polynomials with Square-Free Denominator

Communications in Algebra, 2015
Giulio Peruginelli
exaly  

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