计算 3×(2²+1)(2⁴+1)(2^8+1)(2^16+1)+1
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计算 3×(2²+1)(2⁴+1)(2^8+1)(2^16+1)+1
计算 3×(2²+1)(2⁴+1)(2^8+1)(2^16+1)+1
计算 3×(2²+1)(2⁴+1)(2^8+1)(2^16+1)+1
利用平方差公式
3×(2²+1)(2⁴+1)(2^8+1)(2^16+1)+1
=(4-1)(2²+1)(2⁴+1)(2^8+1)(2^16+1)+1
=(2²-1)(2²+1)(2⁴+1)(2^8+1)(2^16+1)+1
=(2⁴-1)(2⁴+1)(2^8+1)(2^16+1)+1
=(2^8-1)(2^8+1)(2^16+1)+1
=(2^16-1)(2^16+1)+1
=2^32 -1+1
=2^32