(3+1)(3^2+1)(3^4+1)(3^16+1)(3^32+1)....
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(3+1)(3^2+1)(3^4+1)(3^16+1)(3^32+1)....(3+1)(3^2+1)(3^4+1)(3^16+1)(3^32+1)....(3+1)(3^2+1)(3^4+1)(3^
(3+1)(3^2+1)(3^4+1)(3^16+1)(3^32+1)....
(3+1)(3^2+1)(3^4+1)(3^16+1)(3^32+1)
....
(3+1)(3^2+1)(3^4+1)(3^16+1)(3^32+1)....
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
=(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)/2
=(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)/2
=……
=(3^64-1)/2
对啊,配平方差公式啊.同时乘以(3-1),最后再除2
因为先乘(3-1)就等于2,最后还要除2
分子分母同时乘以(3-1)就能算出来,很好算的