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On pairs of eight cubes of primes and powers of 2

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Abstract

It is proved that, for \(k=50\), every pair of sufficiently large even integers can be represented in the form of a pair of eight cubes of primes and k powers of 2. This improves the previous result for \(k=658\).

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Acknowledgements

We thank the referees for their time and comments. The author would like to express the most sincere gratitude to Professor Yingchun Cai for his valuable advice and constant encouragement.

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  1. School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai, 201209, People’s Republic of China

    Li Zhu

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  1. Li Zhu
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Correspondence to Li Zhu.

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Zhu, L. On pairs of eight cubes of primes and powers of 2. Ramanujan J 62, 935–951 (2023). https://doi.org/10.1007/s11139-023-00724-2

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  • DOI: https://doi.org/10.1007/s11139-023-00724-2

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