Question

⒈（2+1）（2&sup2+1）（2&sup4+1）...(2..+1) ⒉ 3×（2&sup2+1（2&sup4+1）

Answer 1

(2+1)(2^2+1)(2^4+1)……(2^16+1)(2^32+1)+1

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

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

=(2^4-1)(2^4+1)……(2^16+1)(2^32+1)+1

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

3(2^2+1)(2^4+1）...(2^32+1)+1

=(2+1)(2^2+1)(2^4+1)……(2^16+1)(2^32+1)+1

=2^64