Question

26^103+3^102-5^103 найти остаток от деления на 26

Answer 1

$26^{103}+3^{103}-5^{103}\equiv x(mod26)\\3^{25}-5^{25}\equiv x(mod26)\\\left ( 3^3 \right )^8\cdot 3-\left ( 5^2 \right )^{12}\cdot 5\equiv x(mod26)\\3+5\equiv x(mod26)\\x=8$