Question

请你认真观察下面的算式,然后用简便的方法计算：3(2^2 +1)(2^4 +1)(2^8 +1)(2^16 +1)(2^

Answer 1

3(2^2 +1)(2^4 +1)(2^8 +1)(2^16 +1)(2^32 +1)+1

=(2^2-1)(2^2 +1)(2^4 +1)(2^8 +1)(2^16 +1)(2^32 +1)+1

=2^64-1+1

=2^64