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Bibliography

AHU74
A.V. Aho, J.E. Hopcroft, and J.D. Ullman.
The Design and Analysis of Computer Algorithms.
Addison-Wesley, Reading, MA, 1974.

AM93
A. O. L. Atkin and F. Morain.
Elliptic curves and primality proving.
Math. Comp., 61:29 -- 68, 1993.

Bre80
R. P. Brent.
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BIT, 20:176--184, 1980.

BtR92
R. P. Brent and H. J. J te Riele.
Factorizations of an +- 1, 13 ≤a < 100.
Technical report, Centrum voor Wiskunde en Informatica, Amsterdam, 1992.
ftp://nimbus.anu.edu.au/pub/Brent.

Jae93
G. Jaeschke.
On strong pseudoprimes to several bases.
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Knu97
Donald E. Knuth.
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Addison Wesley, Reading, Massachusetts, 3rd edition, 1997.

LD95
Arjen K. Lenstra and Bruce Dodson.
NFS with four large primes: An explosive experiment.
In Don Coppersmith, editor, Advances in cryptology---CRYPTO 1995, volume 963 of LNCS, pages 372--385, Berlin, 1995. Springer.

Mar95
G. Marsaglia.
DIEHARD: a battery of tests of randomness.
http://stat.fsu.edu/pub/diehard/, 1995.

Mar00
G. Marsaglia.
The Monster, a random number generator with period 102857 times as long as the previously touted longest-period one.
Preprint, 2000.

Mon92
Peter Lawrence Montgomery.
An FFT Extension of the Elliptic Curve Method of Factorization.
PhD thesis, University of California, Los Angeles, 1992.

Mur99
Brian Murphy.
Polynomial selection for the number field sieve integer factorisation algorithm.
PhD thesis, Oxford University, 1999.
http://web.comlab.ox.ac.uk/oucl/work/richard.brent/ftp/Murphy-thesis.ps.gz.

Sch71
Arnold Schönhage.
Schnelle Berechnung von Kettenbruchentwicklungen.
Acta Informatica, 1:139--144, 1971.

vzGG99
Joachim von zur Gathen and Jürgen Gerhard.
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Cambridge University Press, Cambridge, 1999.

Web95
Kenneth Weber.
The Accelerated Integer GCD Algorithm.
ACM Transactions on Mathematical Software, 21(1):111--122, 1995.

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