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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Density of Carmichael numbers
with three prime factors


Authors: R. Balasubramanian and S. V. Nagaraj
Journal: Math. Comp. 66 (1997), 1705-1708
MSC (1991): Primary 11N25; Secondary 11Y11
MathSciNet review: 1422784
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Abstract: We get an upper bound of $O(x^{5/14+o(1)})$ on the number of Carmichael numbers $\leq x$ with exactly three prime factors.


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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: http://dx.doi.org/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
Article copyright: © Copyright 1997 American Mathematical Society