Question

已知2^48-1可以被小于10的两个正整数整除

Answer 1

2^48-1

=(2^24+1)(2^24-1)

=(2^24+1)(2^12+1)(2^12-1)

=(2^24+1)(2^12+1)(2^6+1)(2^6-1)

=(2^24+1)(2^12+1)(2^6+1)(2^3+1)(2^3-1)

2^3+1=9

2^3-1=7

这两个数是 9 和 7