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Factoring large numbers with a quadratic sieve

Mathematics of ComputationPublished 1 January 1983Open access
Joseph L. Gerver
Citations34
SJR quartileQ1
SJR score1.84
SNIP1.96
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TL;DR

The quadratic sieve algorithm was used to factor a 47-digit number into primes and a comparison with Wagstaff's results suggests that QS should be faster than CFEA when the number being factored exceeds 60 digits.

Abstract

The quadratic sieve algorithm was used to factor a 47-digit number into primes. A comparison with Wagstaff’s results using the continued fraction early abort algorithm suggests that QS should be faster than CFEA when the number being factored exceeds 60 digits (plus or minus ten or more digits, depending on details of the hardware and software).

Keywords

Computer Science