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On a Question of Buium
Published online by Cambridge University Press: 20 November 2018
Abstract
We prove that ${{\left\{ \left( {{n}^{p}}-n \right)/P \right\}}_{p}}\in {{\Pi }_{p}}{{\text{F}}_{p}}$, with $p$ ranging over all primes, is independent of 1 over the integers, assuming a conjecture in elementary number theory generalizing the infinitude of Mersenne primes. This answers a question of Buium. We also prove a generalization.
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- Copyright © Canadian Mathematical Society 2000
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