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

Source 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].