6(7+1)(7^2+1)(7^4+1)(7^8+1)(7^16+1)
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![6(7+1)(7^2+1)(7^4+1)(7^8+1)(7^16+1)](/uploads/image/z/11665708-52-8.jpg?t=6%287%2B1%29%287%5E2%2B1%29%287%5E4%2B1%29%287%5E8%2B1%29%287%5E16%2B1%29)
6(7+1)(7^2+1)(7^4+1)(7^8+1)(7^16+1)
6(7+1)(7^2+1)(7^4+1)(7^8+1)(7^16+1)
6(7+1)(7^2+1)(7^4+1)(7^8+1)(7^16+1)
你把整个式子乘以个7-1,6x(7-1)((7+1)(7^2+1)(7^4+1)(7^8+1)(7^16+1)=6(7^2-1))(7^2+1)(7^4+1)(7^8+1)(7^16+1),依次类推,会了吧
6(7+1)(7^2+1)(7^4+1)(7^8+1)(7^16+1)
=(7-1)(7+1)(7^2+1)(7^4+1)(7^8+1)(7^16+1)
=(7^2-1)(7^2+1)(7^4+1)(7^8+1)(7^16+1)
=(7^4-1)(7^4+1)(7^8+1)(7^16+1)
=(7^8-1)(7^8+1)(7^16+1)
=(7^16-1)(7^16+1)
=7^32-1