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Mathematics of Computation

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Some pseudoprimes and related numbers having special forms

Author: Wayne L. McDaniel
Journal: Math. Comp. 53 (1989), 407-409
MSC: Primary 11A07; Secondary 11Y99
MathSciNet review: 968152
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Abstract: We give an example of a pseudoprime which is itself of the form ${2^n} - 2$, answering a question posed by A. Rotkiewicz, show that Lehmer’s example of an even pseudoprime having three prime factors is not unique, and answer a question of Benkoski concerning the solutions of ${2^{n - 2}} \equiv 1\;\pmod n$.

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Keywords: Pseudoprime
Article copyright: © Copyright 1989 American Mathematical Society