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- W2370194450 abstract "Let C_k(k0) denote the set of Carmichael numbers of order k and C_1 be the set of the standard Carmichael numbers. In this paper, the authors consider C_3 and get a necessary condition for Carmichael numbers of order 3. Two easily computable sufficient conditions for Carmichael numbers of order 3 are also given. The authors find 43 Carmichael numbers of order 3 less than 10~8 and it is verified that one type of Carmichael numbers of order 3 less than 10~8 does not exist (Theorem 2), and they prove that there are only three Carmichael numbers of order 3 less than 10~4, which are 1885, 2101, 9529. Furthermore, they prove that C_1C_3 and C_2C_3, which gives a partial answer to an unknown problems." @default.
- W2370194450 created "2016-06-24" @default.
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- W2370194450 date "2004-01-01" @default.
- W2370194450 modified "2023-09-23" @default.
- W2370194450 title "Carmichael Numbers of Order 3" @default.
- W2370194450 hasPublicationYear "2004" @default.
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