(2&sup1+1)(2&sup2+1)(2&sup4+1)(2&sup8+1)(2&sup16+1)
1个回答

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

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

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

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

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

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

=2^32-1