问题
填空题
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答案
∵(2+1)(22+1)(24+1)(28+1)(216+1),
=(2-1)(2+1)(22+1)(24+1)(28+1)(216+1),
=(22-1)(22+1)(24+1)(28+1)(216+1),
=(24-1)(24+1)(28+1)(216+1),
=(28-1)(28+1)(216+1),
=(216-1)(216+1),
=232-1.
∴
=1.(2+1)(22+1)(24+1)(28+1)(216+1) 232-1
故本题答案为1.