(2+1)(2的平方+1)(2的4次方+1)…(2的32次方+1)+1=?
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![(2+1)(2的平方+1)(2的4次方+1)…(2的32次方+1)+1=?](/uploads/image/z/187187-59-7.jpg?t=%EF%BC%882%2B1%EF%BC%89%EF%BC%882%E7%9A%84%E5%B9%B3%E6%96%B9%2B1%EF%BC%89%EF%BC%882%E7%9A%844%E6%AC%A1%E6%96%B9%2B1%EF%BC%89%E2%80%A6%EF%BC%882%E7%9A%8432%E6%AC%A1%E6%96%B9%2B1%EF%BC%89%2B1%3D%3F)
(2+1)(2的平方+1)(2的4次方+1)…(2的32次方+1)+1=?
(2+1)(2的平方+1)(2的4次方+1)…(2的32次方+1)+1=?
(2+1)(2的平方+1)(2的4次方+1)…(2的32次方+1)+1=?
(2+1)(2的平方+1)(2的4次方+1)…(2的32次方+1)+1
=(2+1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2-1)(2+1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2^2-1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2^4-1)(2^4+1)…(2^32+1)+1
=(2^8-1)(2^8+1)…(2^32+1)+1
=(2^16-1)(2^16+1)(2^32+1)+1
=(2^32-1)(2^32+1)+1
=(2^64-1)+1
=2^64
=18446744073709551616
(2+1)(2的平方+1)(2的4次方+1)…(2的32次方+1)+1
=(2+1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2-1)(2+1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2^2-1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2^4-1)(2^4+1)…(2^32+1)+1
=(2^8-1)(2^8+1...
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(2+1)(2的平方+1)(2的4次方+1)…(2的32次方+1)+1
=(2+1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2-1)(2+1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2^2-1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2^4-1)(2^4+1)…(2^32+1)+1
=(2^8-1)(2^8+1)…(2^32+1)+1
=(2^16-1)(2^16+1)(2^32+1)+1
=(2^32-1)(2^32+1)+1
=(2^64-1)+1
=2^64
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