Abstract
Questions concerning the factorizations of escalator numbers are considered. Specifically, we determine exactly when escalator numbers are nontrivial integral powers of rational numbers. We further bound the number of primes and thus the size of the largest prime dividing the numerator and denominator of an escalator number in terms of its position in an escalator number sequence.
Citation
Helen G. Grundman. Florian Luca. "On Factorizations of Escalator Numbers." Missouri J. Math. Sci. 19 (3) 171 - 175, October 2007. https://doi.org/10.35834/mjms/1316032974
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