7^24-1
=(7^12+1)(7^12-1)
=(7^12+1)(7^6+1)(7^6-1)
=(7^12+1)(7^6+1)(7^3+1)(7^3-1)
=(7^12+1)(7^6+1)(7+1)(7^2-7+1)(7-1)(7^2+7+1)
∵7^2-7+1=43;(7+1)(7-1)=48
∴这两个数是43和48.