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Density of Carmichael numbers with three prime factors
Author(s):
R.
Balasubramanian;
S.
V.
Nagaraj.
Journal:
Math. Comp.
66
(1997),
1705-1708.
MSC (1991):
Primary 11N25;
Secondary 11Y11
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Abstract:
We get an upper bound of on the number of Carmichael numbers with exactly three prime factors.
References:
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- W.R. Alford, A. Granville, and C. Pomerance, There are infinitely many Carmichael numbers, Ann. of Math. 140 (1994), 703-722. MR 95k:11114
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- 4.
- A. Granville, Primality testing and Carmichael numbers, Notices Amer. Math. Soc. 39 (1992), 696-700.
- 5.
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- 7.
- R.G.E. Pinch, The Carmichael numbers up to
, Math. Comp. 61 (1993), 381-392. MR 93m:11137 - 8.
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- 9.
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, Math. Comp. 35 (1980), 1003-1026. MR 82g:10030 - 10.
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- 11.
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Additional Information:
R.
Balasubramanian
Affiliation:
Institute of Mathematical Sciences, Tharamani, Madras 600 113, India
Email:
balu@imsc.ernet.in
S.
V.
Nagaraj
Affiliation:
Institute of Mathematical sciences, Tharamani, Madras 600 113, India
Email:
svn@imsc.ernet.in
DOI:
10.1090/S0025-5718-97-00857-0
PII:
S 0025-5718(97)00857-0
Keywords:
Carmichael number,
primality testing
Received by editor(s):
March 8, 1996
Received by editor(s) in revised form:
August 7, 1996
Copyright of article:
Copyright
1997,
American Mathematical Society
Forward Citation(s): Information for authors on submitting citations The following works have cited this article Darnell M. (ed), On using Carmichael numbers for public key encryption schemes, Proceedings of the 6th IMA Conference on Coding and Cryptography (Cirencester, U.K., 1997), Lecture Notes in Computer science, vol. 1355, Springer Verlag, 1997, pp. 265--269. (English)
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