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Goldbach–Linnik type problems on cubes of primes

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Abstract

In this paper, we will investigate three Goldbach–Linnik type problems on cubes of primes. For example, it was proved that, for \(k=1364,\) every pair of sufficiently large even integers can be represented by a pair of eight prime cubes and k powers of 2. In this paper, we give the detailed proof for the first time and sharpen the value of k to 658.

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Acknowledgements

The author would like to thank Professor Guangshi Lü for his valuable advice and constant encouragement.

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  1. School of Mathematics, Shandong University, Jinan, 250100, Shandong, People’s Republic of China

    Xiaodong Zhao

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  1. Xiaodong Zhao
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Correspondence to Xiaodong Zhao.

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Zhao, X. Goldbach–Linnik type problems on cubes of primes. Ramanujan J 57, 239–251 (2022). https://doi.org/10.1007/s11139-020-00303-9

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  • DOI: https://doi.org/10.1007/s11139-020-00303-9

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