花与剑与法兰西女主:化简(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)

来源:百度文库 编辑:查人人中国名人网 时间:2024/05/11 01:38:38

(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=2^512-1

(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)
=2^512-1

原式=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^256+1)=(2^4-1)(2^4+1)(2^8+1)…(2^256+1)=2^512-1