\(5^{13}+5^{11}-5^{10}=5^{11}\left(5^2\right)+5^{11}-5^{10}=5^{11}\left(25+1\right)-5^{10}\)
\(5^{11}\cdot26-5^{10}=5^{10}\cdot5\cdot26-5^{10}=5^{10}\left(130-1\right)\)
\(=5^{10}\cdot129=5^{10}\cdot3\cdot43\)chia hết cho 43
\(40\)chia 43 dư 3 nên \(5^{10}\cdot129-40\)chia 43 dư 3