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)

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