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 | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1987-0866119-8

Article copyright:
© Copyright 1987
American Mathematical Society