已知2的96次方减1可以被60到70之间的2个整数整除,这两个数是多少?
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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
(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
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