Question

数2的48次幂-1可被0~10之间的两个整数整除他们是

Answer 1

2^48-1

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

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

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

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

∵2^3-1=7 2^3+1=9

∴2的48次幂-1可被0~10之间的两个整数整除他们是7和9