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552 REFERENCES<br />

[Buchmann et al. 1997] J. Buchmann, M. Jacobson, Jr., and E. Teske. On some<br />

computational problems in finite groups. Math. Comp., 66:1663–1687,<br />

1997.<br />

[Buell and Young 1988] D. Buell and J. Young. The twentieth Fermat number is<br />

composite. Math. Comp., 50:261–263, 1988.<br />

[Buhler 1991] J. Buhler, 1991. Private communication.<br />

[Buhler 1998] J. Buhler, editor. Algorithmic Number Theory: Proc. ANTS-III,<br />

Portland, OR, volume 1423 of Lecture Notes in Computer Science.<br />

Springer–Verlag, 1998.<br />

[Buhler 2000] J. Buhler, R. Crandall, R. Ernvall, T. Metsänkylä, and<br />

M. Shokrollahi. Irregular primes and cyclotomic invariants to 12 million.<br />

J. Symbolic Comput., 11:1–8, 2000.<br />

[Buhler et al. 1993] J. Buhler, H. Lenstra, Jr., and C. Pomerance. Factoring<br />

integers with the number field sieve. In A. Lenstra and H. Lenstra, Jr.,<br />

editors, The development of the number field sieve, volume 1554 of<br />

Lecture Notes in Mathematics, pages 50–94. Springer–Verlag, 1993.<br />

[Bürgisser et al. 1997] P. Bürgisser, M. Clausen, and M. Shokrollahi. Algebraic<br />

Complexity Theory. Springer–Verlag, 1997.<br />

[Burnikel and Ziegler 1998] C. Burnikel and J. Ziegler. Fast recursive division.<br />

Max-Planck-Institut für Informatik Research Report MPI-I-98-1-022,<br />

1998.<br />

http:www.algorilla.de/Download/FastRecursiveDivision.ps.gz.<br />

[Burthe 1996] R. Burthe. Further investigations with the strong probable prime<br />

test. Math. Comp., 65:373–381, 1996.<br />

[Burthe 1997] R. Burthe. Upper bounds for least witnesses and generating sets.<br />

Acta Arith., 80:311–326, 1997.<br />

[Caldwell 1999] C. Caldwell. Website for prime numbers, 1999.<br />

http://primes.utm.edu/.<br />

[Canfield et al. 1983] E. Canfield, P. Erdős, and C. Pomerance. On a problem of<br />

Oppenheim concerning “factorisatio numerorum”. J. Number Theory,<br />

17:1–28, 1983.<br />

[Cassels 1966] J. Cassels. Diophantine equations with special reference to elliptic<br />

curves. J. London Math. Soc., 41:193–291, 1966.<br />

[Cesari 1998] G. Cesari. Parallel implementation of Schönhage’s integer GCD<br />

algorithm. In [Buhler 1998], pages 64–76.<br />

[Chen 1966] J. Chen. On the representation of a large even integer as the sum of a<br />

prime and the product of at most two primes. Kexue Tongbao,<br />

17:385–386, 1966.<br />

[Cochrane 1987] T. Cochrane. On a trigonometric inequality of Vinogradov. J.<br />

Number Theory, 27:9–16, 1987.<br />

[Cohen 2000] H. Cohen. A Course in Computational Algebraic Number Theory,<br />

volume 138 of Graduate Texts in Mathematics. Springer–Verlag, 2000.

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