Factoring large numbers with a quadratic sieve

Gerver, Joseph L.

doi:10.1090/S0025-5718-1983-0701639-4

Factoring large numbers with a quadratic sieve

Author: Joseph L. Gerver
Journal: Math. Comp. 41 (1983), 287-294
MSC: Primary 11Y05; Secondary 11-04, 11N35
DOI: https://doi.org/10.1090/S0025-5718-1983-0701639-4
MathSciNet review: 701639
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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).

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