A repunit R_n is an integer that can be written as a string of n ones. Almost thirty years ago, W. M. Snyder extended the notion of a repunit R_n to that which for any positive integer 6, R_n(b) has a b-adic expansion that consists of only ones. He called these numbers generalized repunits. In this paper, we present divisibility properties associated with the generalized repunits and pay particular attention to the primes and Lucas pseudoprimes distributed among them.
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