# Carmichael numbers

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## 3 matching pages

##### 1: 27.12 Asymptotic Formulas: Primes

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►Descriptions and comparisons of pseudoprime tests are given in Bressoud and Wagon (2000, §§2.4, 4.2, and 8.2) and Crandall and Pomerance (2005, §§3.4–3.6).
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*Carmichael number*is a composite number $n$ for which ${b}^{n}\equiv b\phantom{\rule{0.949em}{0ex}}(modn)$ for all $b\in \mathbb{N}$. There are infinitely many Carmichael numbers. …##### 2: Bibliography

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There are infinitely many Carmichael numbers.
Ann. of Math. (2) 139 (3), pp. 703–722.
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##### 3: Bibliography L

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Guide to Tables in the Theory of Numbers.
Bulletin of the National Research Council, No. 105, National Research Council, Washington, D.C..
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