@MISC{Jaroma_factoringgeneralized, author = {John H. Jaroma}, title = {Factoring Generalized Repunits}, year = {} }

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Abstract

Abstract. Twenty-five years ago, W. M. Snyder extended the notion of a repunit Rn to one in which for some positive integer b, Rn(b) has a b-adic expansion consisting of only ones. He then applied algebraic number theory in order to determine the pairs of integers under which Rn(b) has a prime divisor congruent to 1 modulo n. In this paper, we show how Snyder’s theorem follows from existing theory pertaining to the Lucas sequences. 1.