Asymptotically fast factorization of integers
Author:
John D. Dixon
Journal:
Math. Comp. 36 (1981), 255260
MSC:
Primary 10A30; Secondary 10A25
MathSciNet review:
595059
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Abstract: The paper describes a "probabilistic algorithm" for finding a factor of any large composite integer n (the required input is the integer n together with an auxiliary sequence of random numbers). It is proved that the expected number of operations which will be required is for some constant . Asymptotically, this algorithm is much faster than any previously analyzed algorithm for factoring integers; earlier algorithms have all required operations where .
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718198105950591
PII:
S 00255718(1981)05950591
Article copyright:
© Copyright 1981
American Mathematical Society
