解
(2+1)(2²+1)(2^4+1)(2^8+1)
=(2-1)(2+1)(2²+1)(2^4+1)(2^8+1)
=(2²-1)(2²+1)(2^4+1)(2^8+1)
=(2^4-1)(2^4+1)(2^8+1)
=(2^8-1)(2^8+1)
=2^16-1