[latex](2+1)(2 ^{2}+1)(2^{4}+1)(2^{8}+1) - 2^{16} = ?[latex]

[latex](2+1)(2^2+1)(2^4+1)(2^8+1)-2^{16}=\\ 3*5*17*257-2^{16}=\\ 15*17*257-2^{16}=\\ (2^4-1)(2^4+1)*(2^8+1)-2^{16}=\\ (2^8-1)(2^8+1)-2^{16}=\\ 2^{16}-1-2^{16}=-1[/latex]  Ответ -1