Ta có: \(\left\{{}\begin{matrix}5^{2p}+2013=\overline{...5}+2013=\overline{...8}\\5^{2p^2}+q^2=\overline{...5}+q^2\end{matrix}\right.\)
\(\Rightarrow\overline{...5}+q^2=\overline{...8}\Leftrightarrow q^2=\overline{...3}\)
Scp k có dạng \(\overline{...3}\) nên pt vô nghiệm