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A ONE LINE FACTORING ALGORITHM

Part of: Elementary number theory

Published online by Cambridge University Press:  15 June 2012

WILLIAM B. HART
WILLIAM B. HART*
Affiliation:
Zeeman Building, University of Warwick, Coventry CV4 7AL, UK (email: W.B.Hart@warwick.ac.uk)
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Abstract

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We describe a variant of Fermat’s factoring algorithm which is competitive with SQUFOF in practice but has heuristic run time complexity O(n1/3) as a general factoring algorithm. We also describe a sparse class of integers for which the algorithm is particularly effective. We provide speed comparisons between an optimised implementation of the algorithm described and the tuned assortment of factoring algorithms in the Pari/GP computer algebra package.

Keywords

integer factorisationLehman’s algorithmFermat’s algorithm

MSC classification

Secondary: 11A51: Factorization; primality
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 92 , Issue 1 , February 2012 , pp. 61 - 69
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

References

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