This report gives a summary of methods for factoring large integers and presents particular factorizations obtained by these methods using the computer facilities at DAIMI.We have used trial division, the continued fraction method, Pollard's methods, and various tests for primality to obtain new factorizations of Fibonacci numbers, Lucas numbers and numbers of the form 2 uparrow n ± 1
The problem of finding the prime factors of large composite numbers has always been of mathematical ...
Mathematical and Physical SciencesThis research is an implementation of a deterministic algorithm fo...
The Prague Research Institute owns an self-developed algorithm (so-called 'Castell-fact-algorithm'),...
Factoring the first two-hundred and fifty Fibonacci numbers using just trial division would take an ...
The article describes the algorithm for factorization of large numbers. If there is the result of th...
The problem of integer factorisation has been around for a very long time. This report describes a n...
The mathematical area of integer factorization has gone a long way since the early days of Pierre de...
This paper presents a new method of factorization of a number, even if it is very large. It is relat...
In this paper we practically deal with the problem of factorizing large integers. The various algor...
In this research we propose a new method of integer factorization. Prime numbers are the building bl...
AbstractA fresh light is thrown on Fermat's method of factorization. It has been observed on Fermat'...
This note presents the basic mathematical structure of a new integer factorization method based on s...
This book is about the theory and practice of integer factorization presented in a historic perspect...
The problem of finding the prime factors of large composite numbers is of practical importance since...
Factorization of integers is an important aspect of cryptography since it can be used as an\ud attac...
The problem of finding the prime factors of large composite numbers has always been of mathematical ...
Mathematical and Physical SciencesThis research is an implementation of a deterministic algorithm fo...
The Prague Research Institute owns an self-developed algorithm (so-called 'Castell-fact-algorithm'),...
Factoring the first two-hundred and fifty Fibonacci numbers using just trial division would take an ...
The article describes the algorithm for factorization of large numbers. If there is the result of th...
The problem of integer factorisation has been around for a very long time. This report describes a n...
The mathematical area of integer factorization has gone a long way since the early days of Pierre de...
This paper presents a new method of factorization of a number, even if it is very large. It is relat...
In this paper we practically deal with the problem of factorizing large integers. The various algor...
In this research we propose a new method of integer factorization. Prime numbers are the building bl...
AbstractA fresh light is thrown on Fermat's method of factorization. It has been observed on Fermat'...
This note presents the basic mathematical structure of a new integer factorization method based on s...
This book is about the theory and practice of integer factorization presented in a historic perspect...
The problem of finding the prime factors of large composite numbers is of practical importance since...
Factorization of integers is an important aspect of cryptography since it can be used as an\ud attac...
The problem of finding the prime factors of large composite numbers has always been of mathematical ...
Mathematical and Physical SciencesThis research is an implementation of a deterministic algorithm fo...
The Prague Research Institute owns an self-developed algorithm (so-called 'Castell-fact-algorithm'),...