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Mathematics of Computation

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The multiple polynomial quadratic sieve


Author: Robert D. Silverman
Journal: Math. Comp. 48 (1987), 329-339
MSC: Primary 11Y05
DOI: https://doi.org/10.1090/S0025-5718-1987-0866119-8
MathSciNet review: 866119
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Abstract: A modification, due to Peter Montgomery, of Pomerance's Quadratic Sieve for factoring large integers is discussed along with its implementation. Using it, allows factorization with over an order of magnitude less sieving than the basic algorithm. It enables one to factor numbers in the 60-digit range in about a day, using a large minicomputer. The algorithm has features which make it well adapted to parallel implementation.


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DOI: https://doi.org/10.1090/S0025-5718-1987-0866119-8
Article copyright: © Copyright 1987 American Mathematical Society