己知,2的96次方減1的差,能被在60-70間的兩個整數(shù)整除,則這兩個數(shù)是多少?

熱心網(wǎng)友

2^96-1=(2^48+1)(2^48-1)=(2^48+1)(2^24+1)(2^24-1)=(2^48+1)(2^24+1)(2^12+1)(2^12-1)=(2^48+1)(2^24+1)(2^12+1)(2^6+1)(2^6-1)=(2^48+1)(2^24+1)(2^12+1)(2^6+1)(2^3+1)(2^3-1)=(2^48+1)(2^24+1)(2^12+1)(2^6+1) 9 * 7=(2^48+1)(2^24+1)(2^12+1) 65 * 63是65 63

熱心網(wǎng)友

65 63

熱心網(wǎng)友

63和65