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On pseudoprimes to the base $a$ (Fermat pseudoprimes)
In 1980, C. Pomerance, J. Selfridge, and S. S. Wagstaff defined a pseudoprime to the base a to be any composite odd $n$ such that $n \mid a^{n-1} - 1$.
More recently, in 2013, S. S. Wagstaff referred …