已知 2的48次方减1可以被在60至70之间的两个整数整除,
则这两个数是( )
A. 61,62 B..63,,64 C.63,65 D.65,67
参考答案:63和65
因式分解
原试 = (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)
= 63 * 65 *(2^12+1)(2^24+1)
则这两个数是( )
A. 61,62 B..63,,64 C.63,65 D.65,67
参考答案:63和65
因式分解
原试 = (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)
= 63 * 65 *(2^12+1)(2^24+1)