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On shifted primes with large prime factors and their products

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Abstract

In this short note, we give partial answers to two questions on shifted primes with large prime factors, posed by Luca et al. (Bull Belg Math Soc Simon Stevin 22:39–47, 2015) and by Chen and Chen (Acta Math Sin (Engl Ser) 33(3):377–382, 2017), respectively.

Keywords

Shifted prime Brun–Titchmarsh inequality 

Mathematics Subject Classification

11N05 

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Notes

Acknowledgements

This work is supported in part by Scientific Research Innovation Team Project Affiliated to Yangtze Normal University (No. 2016XJD01).

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsYangtze Normal UniversityFulingChina
  2. 2.CNRS LAMA 8050, Laboratoire d’Analyse et de Mathématiques AppliquéesUniversité Paris-Est CréteilCréteil CedexFrance

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