On Waring-Goldbach problem for two squares, three biquadratics, one quintic and one septic

Linji Long; Jinjiang Li; Min Zhang

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arXiv · 2610.15142

On Waring-Goldbach problem for two squares, three biquadratics, one quintic and one septic

Linji Long·Jinjiang Li·Min Zhang

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Abstract

In this paper, it is proved that every sufficiently large odd integer $n$ can be represented as \begin{equation*} n=p_1^2+p_2^2+p_3^4+p_4^4+p_5^4+p_6^5+p_7^7, \end{equation*} where $p_1,\dots,p_7$ are prime variables. This result constitutes an enhancement upon a previous result of Andrade [1].

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Linji Long, Jinjiang Li, Min Zhang. 2026-10-10. On Waring-Goldbach problem for two squares, three biquadratics, one quintic and one septic. https://arxiv.org/abs/2610.15142

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