(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)麻烦用简便算法,
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![(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)麻烦用简便算法,](/uploads/image/z/5466343-31-3.jpg?t=%283%2B1%29%283%5E2%2B1%29%283%5E4%2B1%29%283%5E8%2B1%29%283%5E16%2B1%29%283%5E32%2B1%29%E9%BA%BB%E7%83%A6%E7%94%A8%E7%AE%80%E4%BE%BF%E7%AE%97%E6%B3%95%2C)
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)麻烦用简便算法,
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
麻烦用简便算法,
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)麻烦用简便算法,
(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
(3-1)*...
(3^64-1)/2
(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
=(3^4-1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)÷2
=(3^8-1)(3^8+1)(3^16+1)(3^32+1)÷2
=(3^16-1)(3^16+1)(3^32+1)÷2
=(3^32-1)(3^32+1)÷2
=(3^64-1)/2
(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)/(3-1)
=(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)/2
=(3^4-1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)/2
……
=(3^64-1)/2
原式乘以(3-1)再除以2
原式=(3^64-1)/2=1716841910146256242328924544640