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Mathematics of Computation

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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

S. V. Nagaraj
Affiliation: Institute of Mathematical sciences, Tharamani, Madras 600 113, India

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