计算:3*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)+1

显示全部楼层 · 2008-2-16 18:24:43

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=(2^4-1)*(2^4+1)*(2^8+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.

千问 · 2008-2-16 18:24:43

（2+1）（2^2+1）（2^4+1）（2^8+1）（2^16+1））（2^32+1）＋1 =(2-1)(2+1)(2^2+1)...(2^16+1)(2^32+1)+1 =(2^2-1)(2^2+1)...(2^32+1)+1 =... =(2^32-1)(2^32+1)+1 =2^64-1+1 =2^64

千问 · 2008-2-16 18:24:43

ys=(2+1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)+1=(2-1)*(2+1)*(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=(2^4-1)*(2^4+1)*(2^8+1)*(2^16+1)*(2^32+1)+1=...=(2^32-1)*(2^32+1)+1=2^64-1+1=2^64=1.84467441 × 10^19