(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
=(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)(2^2+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
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展开全部
(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
=(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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